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Finding the Third Proportional to 134,602 and 291,494

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Solution

The third proportional to 134,602 and 291,494 is: 631,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,602 : 291,494 = 291,494 : x
  2. Step 2: Convert to fraction form
    134,602/291,494 = 291,494/x
  3. Step 3: Cross multiply
    134,602x = 291,494 × 291,494
  4. Step 4: Simplify right side
    134,602x = 84,968,752,036
  5. Step 5: Solve for x
    x = 84,968,752,036/134,602
  6. Step 6: Final answer
    x = 631,259.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.