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Finding the Third Proportional to 231,960 and 358,416

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Solution

The third proportional to 231,960 and 358,416 is: 553,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,960 : 358,416 = 358,416 : x
  2. Step 2: Convert to fraction form
    231,960/358,416 = 358,416/x
  3. Step 3: Cross multiply
    231,960x = 358,416 × 358,416
  4. Step 4: Simplify right side
    231,960x = 128,462,029,056
  5. Step 5: Solve for x
    x = 128,462,029,056/231,960
  6. Step 6: Final answer
    x = 553,811.13

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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.