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Finding the Third Proportional to 180,248.63 and 383,794.88

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Solution

The third proportional to 180,248.63 and 383,794.88 is: 817,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,248.63 : 383,794.88 = 383,794.88 : x
  2. Step 2: Convert to fraction form
    180,248.63/383,794.88 = 383,794.88/x
  3. Step 3: Cross multiply
    180,248.63x = 383,794.88 × 383,794.88
  4. Step 4: Simplify right side
    180,248.63x = 147,298,506,076.27
  5. Step 5: Solve for x
    x = 147,298,506,076.27/180,248.63
  6. Step 6: Final answer
    x = 817,196.28

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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.