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Finding the Third Proportional to 153,584 and 240,402.75

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Solution

The third proportional to 153,584 and 240,402.75 is: 376,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584 : 240,402.75 = 240,402.75 : x
  2. Step 2: Convert to fraction form
    153,584/240,402.75 = 240,402.75/x
  3. Step 3: Cross multiply
    153,584x = 240,402.75 × 240,402.75
  4. Step 4: Simplify right side
    153,584x = 57,793,482,207.56
  5. Step 5: Solve for x
    x = 57,793,482,207.56/153,584
  6. Step 6: Final answer
    x = 376,298.85

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Why These Related Problems?

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