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Finding the Third Proportional to 187,347.30 and 410,113.76

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Solution

The third proportional to 187,347.30 and 410,113.76 is: 897,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,347.30 : 410,113.76 = 410,113.76 : x
  2. Step 2: Convert to fraction form
    187,347.30/410,113.76 = 410,113.76/x
  3. Step 3: Cross multiply
    187,347.30x = 410,113.76 × 410,113.76
  4. Step 4: Simplify right side
    187,347.30x = 168,193,294,347.09
  5. Step 5: Solve for x
    x = 168,193,294,347.09/187,347.30
  6. Step 6: Final answer
    x = 897,762.02

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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.