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Finding the Third Proportional to 141,565 and 299,527

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Solution

The third proportional to 141,565 and 299,527 is: 633,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,565 : 299,527 = 299,527 : x
  2. Step 2: Convert to fraction form
    141,565/299,527 = 299,527/x
  3. Step 3: Cross multiply
    141,565x = 299,527 × 299,527
  4. Step 4: Simplify right side
    141,565x = 89,716,423,729
  5. Step 5: Solve for x
    x = 89,716,423,729/141,565
  6. Step 6: Final answer
    x = 633,747.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.