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Finding the Third Proportional to 152,401.50 and 328,374

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Solution

The third proportional to 152,401.50 and 328,374 is: 707,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,401.50 : 328,374 = 328,374 : x
  2. Step 2: Convert to fraction form
    152,401.50/328,374 = 328,374/x
  3. Step 3: Cross multiply
    152,401.50x = 328,374 × 328,374
  4. Step 4: Simplify right side
    152,401.50x = 107,829,483,876
  5. Step 5: Solve for x
    x = 107,829,483,876/152,401.50
  6. Step 6: Final answer
    x = 707,535.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.