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Finding the Third Proportional to 142,319 and 316,150

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Solution

The third proportional to 142,319 and 316,150 is: 702,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,319 : 316,150 = 316,150 : x
  2. Step 2: Convert to fraction form
    142,319/316,150 = 316,150/x
  3. Step 3: Cross multiply
    142,319x = 316,150 × 316,150
  4. Step 4: Simplify right side
    142,319x = 99,950,822,500
  5. Step 5: Solve for x
    x = 99,950,822,500/142,319
  6. Step 6: Final answer
    x = 702,301.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.