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Finding the Third Proportional to 175,288.88 and 383,929.88

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Solution

The third proportional to 175,288.88 and 383,929.88 is: 840,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,288.88 : 383,929.88 = 383,929.88 : x
  2. Step 2: Convert to fraction form
    175,288.88/383,929.88 = 383,929.88/x
  3. Step 3: Cross multiply
    175,288.88x = 383,929.88 × 383,929.88
  4. Step 4: Simplify right side
    175,288.88x = 147,402,148,917.52
  5. Step 5: Solve for x
    x = 147,402,148,917.52/175,288.88
  6. Step 6: Final answer
    x = 840,909.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.