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Finding the Third Proportional to 169,520 and 365,688

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Solution

The third proportional to 169,520 and 365,688 is: 788,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,520 : 365,688 = 365,688 : x
  2. Step 2: Convert to fraction form
    169,520/365,688 = 365,688/x
  3. Step 3: Cross multiply
    169,520x = 365,688 × 365,688
  4. Step 4: Simplify right side
    169,520x = 133,727,713,344
  5. Step 5: Solve for x
    x = 133,727,713,344/169,520
  6. Step 6: Final answer
    x = 788,860.98

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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.