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Finding the Third Proportional to 232,227 and 358,911

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Solution

The third proportional to 232,227 and 358,911 is: 554,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,227 : 358,911 = 358,911 : x
  2. Step 2: Convert to fraction form
    232,227/358,911 = 358,911/x
  3. Step 3: Cross multiply
    232,227x = 358,911 × 358,911
  4. Step 4: Simplify right side
    232,227x = 128,817,105,921
  5. Step 5: Solve for x
    x = 128,817,105,921/232,227
  6. Step 6: Final answer
    x = 554,703.40

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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.