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Finding the Third Proportional to 141,399 and 292,643

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Solution

The third proportional to 141,399 and 292,643 is: 605,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,399 : 292,643 = 292,643 : x
  2. Step 2: Convert to fraction form
    141,399/292,643 = 292,643/x
  3. Step 3: Cross multiply
    141,399x = 292,643 × 292,643
  4. Step 4: Simplify right side
    141,399x = 85,639,925,449
  5. Step 5: Solve for x
    x = 85,639,925,449/141,399
  6. Step 6: Final answer
    x = 605,661.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.