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Finding the Third Proportional to 232,030.50 and 369,210

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Solution

The third proportional to 232,030.50 and 369,210 is: 587,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,030.50 : 369,210 = 369,210 : x
  2. Step 2: Convert to fraction form
    232,030.50/369,210 = 369,210/x
  3. Step 3: Cross multiply
    232,030.50x = 369,210 × 369,210
  4. Step 4: Simplify right side
    232,030.50x = 136,316,024,100
  5. Step 5: Solve for x
    x = 136,316,024,100/232,030.50
  6. Step 6: Final answer
    x = 587,491.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.