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Finding the Third Proportional to 253,264.50 and 401,037.75

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Solution

The third proportional to 253,264.50 and 401,037.75 is: 635,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,264.50 : 401,037.75 = 401,037.75 : x
  2. Step 2: Convert to fraction form
    253,264.50/401,037.75 = 401,037.75/x
  3. Step 3: Cross multiply
    253,264.50x = 401,037.75 × 401,037.75
  4. Step 4: Simplify right side
    253,264.50x = 160,831,276,925.06
  5. Step 5: Solve for x
    x = 160,831,276,925.06/253,264.50
  6. Step 6: Final answer
    x = 635,032.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.