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Finding the Third Proportional to 187,398.56 and 409,748.63

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Solution

The third proportional to 187,398.56 and 409,748.63 is: 895,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,398.56 : 409,748.63 = 409,748.63 : x
  2. Step 2: Convert to fraction form
    187,398.56/409,748.63 = 409,748.63/x
  3. Step 3: Cross multiply
    187,398.56x = 409,748.63 × 409,748.63
  4. Step 4: Simplify right side
    187,398.56x = 167,893,935,689.39
  5. Step 5: Solve for x
    x = 167,893,935,689.39/187,398.56
  6. Step 6: Final answer
    x = 895,919.02

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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.