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Finding the Third Proportional to 232,237.13 and 384,356.81

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Solution

The third proportional to 232,237.13 and 384,356.81 is: 636,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,237.13 : 384,356.81 = 384,356.81 : x
  2. Step 2: Convert to fraction form
    232,237.13/384,356.81 = 384,356.81/x
  3. Step 3: Cross multiply
    232,237.13x = 384,356.81 × 384,356.81
  4. Step 4: Simplify right side
    232,237.13x = 147,730,159,315.16
  5. Step 5: Solve for x
    x = 147,730,159,315.16/232,237.13
  6. Step 6: Final answer
    x = 636,117.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.