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Finding the Third Proportional to 176,941.13 and 384,985.88

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Solution

The third proportional to 176,941.13 and 384,985.88 is: 837,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,941.13 : 384,985.88 = 384,985.88 : x
  2. Step 2: Convert to fraction form
    176,941.13/384,985.88 = 384,985.88/x
  3. Step 3: Cross multiply
    176,941.13x = 384,985.88 × 384,985.88
  4. Step 4: Simplify right side
    176,941.13x = 148,214,123,949.52
  5. Step 5: Solve for x
    x = 148,214,123,949.52/176,941.13
  6. Step 6: Final answer
    x = 837,646.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.