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Finding the Third Proportional to 155,614 and 341,486

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Solution

The third proportional to 155,614 and 341,486 is: 749,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,614 : 341,486 = 341,486 : x
  2. Step 2: Convert to fraction form
    155,614/341,486 = 341,486/x
  3. Step 3: Cross multiply
    155,614x = 341,486 × 341,486
  4. Step 4: Simplify right side
    155,614x = 116,612,688,196
  5. Step 5: Solve for x
    x = 116,612,688,196/155,614
  6. Step 6: Final answer
    x = 749,371.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.