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Finding the Third Proportional to 153,801 and 240,781.69

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Solution

The third proportional to 153,801 and 240,781.69 is: 376,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,801 : 240,781.69 = 240,781.69 : x
  2. Step 2: Convert to fraction form
    153,801/240,781.69 = 240,781.69/x
  3. Step 3: Cross multiply
    153,801x = 240,781.69 × 240,781.69
  4. Step 4: Simplify right side
    153,801x = 57,975,821,035.35
  5. Step 5: Solve for x
    x = 57,975,821,035.35/153,801
  6. Step 6: Final answer
    x = 376,953.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.