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Finding the Third Proportional to 153,356 and 232,793.50

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Solution

The third proportional to 153,356 and 232,793.50 is: 353,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,356 : 232,793.50 = 232,793.50 : x
  2. Step 2: Convert to fraction form
    153,356/232,793.50 = 232,793.50/x
  3. Step 3: Cross multiply
    153,356x = 232,793.50 × 232,793.50
  4. Step 4: Simplify right side
    153,356x = 54,192,813,642.25
  5. Step 5: Solve for x
    x = 54,192,813,642.25/153,356
  6. Step 6: Final answer
    x = 353,379.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.