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Finding the Third Proportional to 187,083 and 410,386

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Solution

The third proportional to 187,083 and 410,386 is: 900,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,083 : 410,386 = 410,386 : x
  2. Step 2: Convert to fraction form
    187,083/410,386 = 410,386/x
  3. Step 3: Cross multiply
    187,083x = 410,386 × 410,386
  4. Step 4: Simplify right side
    187,083x = 168,416,668,996
  5. Step 5: Solve for x
    x = 168,416,668,996/187,083
  6. Step 6: Final answer
    x = 900,224.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.