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Finding the Third Proportional to 85,402.13 and 181,312.50

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Solution

The third proportional to 85,402.13 and 181,312.50 is: 384,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.13 : 181,312.50 = 181,312.50 : x
  2. Step 2: Convert to fraction form
    85,402.13/181,312.50 = 181,312.50/x
  3. Step 3: Cross multiply
    85,402.13x = 181,312.50 × 181,312.50
  4. Step 4: Simplify right side
    85,402.13x = 32,874,222,656.25
  5. Step 5: Solve for x
    x = 32,874,222,656.25/85,402.13
  6. Step 6: Final answer
    x = 384,934.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.