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Finding the Third Proportional to 232,197.89 and 358,868.76

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Solution

The third proportional to 232,197.89 and 358,868.76 is: 554,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,197.89 : 358,868.76 = 358,868.76 : x
  2. Step 2: Convert to fraction form
    232,197.89/358,868.76 = 358,868.76/x
  3. Step 3: Cross multiply
    232,197.89x = 358,868.76 × 358,868.76
  4. Step 4: Simplify right side
    232,197.89x = 128,786,786,735.71
  5. Step 5: Solve for x
    x = 128,786,786,735.71/232,197.89
  6. Step 6: Final answer
    x = 554,642.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.