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Finding the Third Proportional to 130,076 and 283,730

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Solution

The third proportional to 130,076 and 283,730 is: 618,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,076 : 283,730 = 283,730 : x
  2. Step 2: Convert to fraction form
    130,076/283,730 = 283,730/x
  3. Step 3: Cross multiply
    130,076x = 283,730 × 283,730
  4. Step 4: Simplify right side
    130,076x = 80,502,712,900
  5. Step 5: Solve for x
    x = 80,502,712,900/130,076
  6. Step 6: Final answer
    x = 618,889.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.