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Finding the Third Proportional to 232,232 and 358,919

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Solution

The third proportional to 232,232 and 358,919 is: 554,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,232 : 358,919 = 358,919 : x
  2. Step 2: Convert to fraction form
    232,232/358,919 = 358,919/x
  3. Step 3: Cross multiply
    232,232x = 358,919 × 358,919
  4. Step 4: Simplify right side
    232,232x = 128,822,848,561
  5. Step 5: Solve for x
    x = 128,822,848,561/232,232
  6. Step 6: Final answer
    x = 554,716.18

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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.