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Finding the Third Proportional to 155,776 and 240,560

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Solution

The third proportional to 155,776 and 240,560 is: 371,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,776 : 240,560 = 240,560 : x
  2. Step 2: Convert to fraction form
    155,776/240,560 = 240,560/x
  3. Step 3: Cross multiply
    155,776x = 240,560 × 240,560
  4. Step 4: Simplify right side
    155,776x = 57,869,113,600
  5. Step 5: Solve for x
    x = 57,869,113,600/155,776
  6. Step 6: Final answer
    x = 371,489.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.