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Finding the Third Proportional to 141,173 and 224,720

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Solution

The third proportional to 141,173 and 224,720 is: 357,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,173 : 224,720 = 224,720 : x
  2. Step 2: Convert to fraction form
    141,173/224,720 = 224,720/x
  3. Step 3: Cross multiply
    141,173x = 224,720 × 224,720
  4. Step 4: Simplify right side
    141,173x = 50,499,078,400
  5. Step 5: Solve for x
    x = 50,499,078,400/141,173
  6. Step 6: Final answer
    x = 357,710.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.