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Finding the Third Proportional to 187,024 and 400,310

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Solution

The third proportional to 187,024 and 400,310 is: 856,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,024 : 400,310 = 400,310 : x
  2. Step 2: Convert to fraction form
    187,024/400,310 = 400,310/x
  3. Step 3: Cross multiply
    187,024x = 400,310 × 400,310
  4. Step 4: Simplify right side
    187,024x = 160,248,096,100
  5. Step 5: Solve for x
    x = 160,248,096,100/187,024
  6. Step 6: Final answer
    x = 856,831.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.