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Finding the Third Proportional to 78,358 and 169,184

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Solution

The third proportional to 78,358 and 169,184 is: 365,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358 : 169,184 = 169,184 : x
  2. Step 2: Convert to fraction form
    78,358/169,184 = 169,184/x
  3. Step 3: Cross multiply
    78,358x = 169,184 × 169,184
  4. Step 4: Simplify right side
    78,358x = 28,623,225,856
  5. Step 5: Solve for x
    x = 28,623,225,856/78,358
  6. Step 6: Final answer
    x = 365,287.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.