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Finding the Third Proportional to 187,078 and 409,160

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Solution

The third proportional to 187,078 and 409,160 is: 894,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,078 : 409,160 = 409,160 : x
  2. Step 2: Convert to fraction form
    187,078/409,160 = 409,160/x
  3. Step 3: Cross multiply
    187,078x = 409,160 × 409,160
  4. Step 4: Simplify right side
    187,078x = 167,411,905,600
  5. Step 5: Solve for x
    x = 167,411,905,600/187,078
  6. Step 6: Final answer
    x = 894,877.57

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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.