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Finding the Third Proportional to 232,229 and 358,914

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Solution

The third proportional to 232,229 and 358,914 is: 554,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,229 : 358,914 = 358,914 : x
  2. Step 2: Convert to fraction form
    232,229/358,914 = 358,914/x
  3. Step 3: Cross multiply
    232,229x = 358,914 × 358,914
  4. Step 4: Simplify right side
    232,229x = 128,819,259,396
  5. Step 5: Solve for x
    x = 128,819,259,396/232,229
  6. Step 6: Final answer
    x = 554,707.89

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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.