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Finding the Third Proportional to 187,214.63 and 410,065.88

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Solution

The third proportional to 187,214.63 and 410,065.88 is: 898,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,214.63 : 410,065.88 = 410,065.88 : x
  2. Step 2: Convert to fraction form
    187,214.63/410,065.88 = 410,065.88/x
  3. Step 3: Cross multiply
    187,214.63x = 410,065.88 × 410,065.88
  4. Step 4: Simplify right side
    187,214.63x = 168,154,021,839.52
  5. Step 5: Solve for x
    x = 168,154,021,839.52/187,214.63
  6. Step 6: Final answer
    x = 898,188.49

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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.