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Finding the Third Proportional to 180,218.50 and 383,730

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Solution

The third proportional to 180,218.50 and 383,730 is: 817,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,218.50 : 383,730 = 383,730 : x
  2. Step 2: Convert to fraction form
    180,218.50/383,730 = 383,730/x
  3. Step 3: Cross multiply
    180,218.50x = 383,730 × 383,730
  4. Step 4: Simplify right side
    180,218.50x = 147,248,712,900
  5. Step 5: Solve for x
    x = 147,248,712,900/180,218.50
  6. Step 6: Final answer
    x = 817,056.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.