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Finding the Third Proportional to 187,688 and 390,856

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Solution

The third proportional to 187,688 and 390,856 is: 813,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,688 : 390,856 = 390,856 : x
  2. Step 2: Convert to fraction form
    187,688/390,856 = 390,856/x
  3. Step 3: Cross multiply
    187,688x = 390,856 × 390,856
  4. Step 4: Simplify right side
    187,688x = 152,768,412,736
  5. Step 5: Solve for x
    x = 152,768,412,736/187,688
  6. Step 6: Final answer
    x = 813,948.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.