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Finding the Third Proportional to 187,395.71 and 296,476.56

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Solution

The third proportional to 187,395.71 and 296,476.56 is: 469,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,395.71 : 296,476.56 = 296,476.56 : x
  2. Step 2: Convert to fraction form
    187,395.71/296,476.56 = 296,476.56/x
  3. Step 3: Cross multiply
    187,395.71x = 296,476.56 × 296,476.56
  4. Step 4: Simplify right side
    187,395.71x = 87,898,349,795.59
  5. Step 5: Solve for x
    x = 87,898,349,795.59/187,395.71
  6. Step 6: Final answer
    x = 469,052.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.