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Finding the Third Proportional to 152,352 and 231,925.50

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Solution

The third proportional to 152,352 and 231,925.50 is: 353,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,352 : 231,925.50 = 231,925.50 : x
  2. Step 2: Convert to fraction form
    152,352/231,925.50 = 231,925.50/x
  3. Step 3: Cross multiply
    152,352x = 231,925.50 × 231,925.50
  4. Step 4: Simplify right side
    152,352x = 53,789,437,550.25
  5. Step 5: Solve for x
    x = 53,789,437,550.25/152,352
  6. Step 6: Final answer
    x = 353,060.27

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