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Finding the Third Proportional to 155,862 and 337,959

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Solution

The third proportional to 155,862 and 337,959 is: 732,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,862 : 337,959 = 337,959 : x
  2. Step 2: Convert to fraction form
    155,862/337,959 = 337,959/x
  3. Step 3: Cross multiply
    155,862x = 337,959 × 337,959
  4. Step 4: Simplify right side
    155,862x = 114,216,285,681
  5. Step 5: Solve for x
    x = 114,216,285,681/155,862
  6. Step 6: Final answer
    x = 732,803.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.