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Finding the Third Proportional to 232,429.88 and 358,896.38

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Solution

The third proportional to 232,429.88 and 358,896.38 is: 554,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,429.88 : 358,896.38 = 358,896.38 : x
  2. Step 2: Convert to fraction form
    232,429.88/358,896.38 = 358,896.38/x
  3. Step 3: Cross multiply
    232,429.88x = 358,896.38 × 358,896.38
  4. Step 4: Simplify right side
    232,429.88x = 128,806,607,988.14
  5. Step 5: Solve for x
    x = 128,806,607,988.14/232,429.88
  6. Step 6: Final answer
    x = 554,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.