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Finding the Third Proportional to 159,988.50 and 370,386

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Solution

The third proportional to 159,988.50 and 370,386 is: 857,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,988.50 : 370,386 = 370,386 : x
  2. Step 2: Convert to fraction form
    159,988.50/370,386 = 370,386/x
  3. Step 3: Cross multiply
    159,988.50x = 370,386 × 370,386
  4. Step 4: Simplify right side
    159,988.50x = 137,185,788,996
  5. Step 5: Solve for x
    x = 137,185,788,996/159,988.50
  6. Step 6: Final answer
    x = 857,472.81

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.