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Finding the Third Proportional to 85,370 and 186,292

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Solution

The third proportional to 85,370 and 186,292 is: 406,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370 : 186,292 = 186,292 : x
  2. Step 2: Convert to fraction form
    85,370/186,292 = 186,292/x
  3. Step 3: Cross multiply
    85,370x = 186,292 × 186,292
  4. Step 4: Simplify right side
    85,370x = 34,704,709,264
  5. Step 5: Solve for x
    x = 34,704,709,264/85,370
  6. Step 6: Final answer
    x = 406,521.13

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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.