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Finding the Third Proportional to 86,410 and 185,348

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Solution

The third proportional to 86,410 and 185,348 is: 397,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,410 : 185,348 = 185,348 : x
  2. Step 2: Convert to fraction form
    86,410/185,348 = 185,348/x
  3. Step 3: Cross multiply
    86,410x = 185,348 × 185,348
  4. Step 4: Simplify right side
    86,410x = 34,353,881,104
  5. Step 5: Solve for x
    x = 34,353,881,104/86,410
  6. Step 6: Final answer
    x = 397,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.