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Finding the Third Proportional to 265,114.50 and 401,533.50

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Solution

The third proportional to 265,114.50 and 401,533.50 is: 608,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,114.50 : 401,533.50 = 401,533.50 : x
  2. Step 2: Convert to fraction form
    265,114.50/401,533.50 = 401,533.50/x
  3. Step 3: Cross multiply
    265,114.50x = 401,533.50 × 401,533.50
  4. Step 4: Simplify right side
    265,114.50x = 161,229,151,622.25
  5. Step 5: Solve for x
    x = 161,229,151,622.25/265,114.50
  6. Step 6: Final answer
    x = 608,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.