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Finding the Third Proportional to 155,981 and 241,963.50

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Solution

The third proportional to 155,981 and 241,963.50 is: 375,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,981 : 241,963.50 = 241,963.50 : x
  2. Step 2: Convert to fraction form
    155,981/241,963.50 = 241,963.50/x
  3. Step 3: Cross multiply
    155,981x = 241,963.50 × 241,963.50
  4. Step 4: Simplify right side
    155,981x = 58,546,335,332.25
  5. Step 5: Solve for x
    x = 58,546,335,332.25/155,981
  6. Step 6: Final answer
    x = 375,342.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.