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Finding the Third Proportional to 153,587 and 240,413

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Solution

The third proportional to 153,587 and 240,413 is: 376,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,587 : 240,413 = 240,413 : x
  2. Step 2: Convert to fraction form
    153,587/240,413 = 240,413/x
  3. Step 3: Cross multiply
    153,587x = 240,413 × 240,413
  4. Step 4: Simplify right side
    153,587x = 57,798,410,569
  5. Step 5: Solve for x
    x = 57,798,410,569/153,587
  6. Step 6: Final answer
    x = 376,323.59

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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.