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Finding the Third Proportional to 231,939 and 358,384.50

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Solution

The third proportional to 231,939 and 358,384.50 is: 553,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,939 : 358,384.50 = 358,384.50 : x
  2. Step 2: Convert to fraction form
    231,939/358,384.50 = 358,384.50/x
  3. Step 3: Cross multiply
    231,939x = 358,384.50 × 358,384.50
  4. Step 4: Simplify right side
    231,939x = 128,439,449,840.25
  5. Step 5: Solve for x
    x = 128,439,449,840.25/231,939
  6. Step 6: Final answer
    x = 553,763.92

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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.