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Finding the Third Proportional to 156,918 and 240,033

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Solution

The third proportional to 156,918 and 240,033 is: 367,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 240,033 = 240,033 : x
  2. Step 2: Convert to fraction form
    156,918/240,033 = 240,033/x
  3. Step 3: Cross multiply
    156,918x = 240,033 × 240,033
  4. Step 4: Simplify right side
    156,918x = 57,615,841,089
  5. Step 5: Solve for x
    x = 57,615,841,089/156,918
  6. Step 6: Final answer
    x = 367,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.