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Finding the Third Proportional to 142,818 and 301,540

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Solution

The third proportional to 142,818 and 301,540 is: 636,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,818 : 301,540 = 301,540 : x
  2. Step 2: Convert to fraction form
    142,818/301,540 = 301,540/x
  3. Step 3: Cross multiply
    142,818x = 301,540 × 301,540
  4. Step 4: Simplify right side
    142,818x = 90,926,371,600
  5. Step 5: Solve for x
    x = 90,926,371,600/142,818
  6. Step 6: Final answer
    x = 636,659.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.