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Finding the Third Proportional to 187,560 and 407,160

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Solution

The third proportional to 187,560 and 407,160 is: 883,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,560 : 407,160 = 407,160 : x
  2. Step 2: Convert to fraction form
    187,560/407,160 = 407,160/x
  3. Step 3: Cross multiply
    187,560x = 407,160 × 407,160
  4. Step 4: Simplify right side
    187,560x = 165,779,265,600
  5. Step 5: Solve for x
    x = 165,779,265,600/187,560
  6. Step 6: Final answer
    x = 883,873.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.