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Finding the Third Proportional to 258,197 and 391,159.50

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Solution

The third proportional to 258,197 and 391,159.50 is: 592,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,197 : 391,159.50 = 391,159.50 : x
  2. Step 2: Convert to fraction form
    258,197/391,159.50 = 391,159.50/x
  3. Step 3: Cross multiply
    258,197x = 391,159.50 × 391,159.50
  4. Step 4: Simplify right side
    258,197x = 153,005,754,440.25
  5. Step 5: Solve for x
    x = 153,005,754,440.25/258,197
  6. Step 6: Final answer
    x = 592,593.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.