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Finding the Third Proportional to 145,856 and 186,357

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Solution

The third proportional to 145,856 and 186,357 is: 238,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856 : 186,357 = 186,357 : x
  2. Step 2: Convert to fraction form
    145,856/186,357 = 186,357/x
  3. Step 3: Cross multiply
    145,856x = 186,357 × 186,357
  4. Step 4: Simplify right side
    145,856x = 34,728,931,449
  5. Step 5: Solve for x
    x = 34,728,931,449/145,856
  6. Step 6: Final answer
    x = 238,104.24

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.