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Finding the Third Proportional to 149,480 and 322,558

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Solution

The third proportional to 149,480 and 322,558 is: 696,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,480 : 322,558 = 322,558 : x
  2. Step 2: Convert to fraction form
    149,480/322,558 = 322,558/x
  3. Step 3: Cross multiply
    149,480x = 322,558 × 322,558
  4. Step 4: Simplify right side
    149,480x = 104,043,663,364
  5. Step 5: Solve for x
    x = 104,043,663,364/149,480
  6. Step 6: Final answer
    x = 696,037.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.