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Finding the Third Proportional to 187,602.75 and 294,769.13

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Solution

The third proportional to 187,602.75 and 294,769.13 is: 463,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,602.75 : 294,769.13 = 294,769.13 : x
  2. Step 2: Convert to fraction form
    187,602.75/294,769.13 = 294,769.13/x
  3. Step 3: Cross multiply
    187,602.75x = 294,769.13 × 294,769.13
  4. Step 4: Simplify right side
    187,602.75x = 86,888,837,053.27
  5. Step 5: Solve for x
    x = 86,888,837,053.27/187,602.75
  6. Step 6: Final answer
    x = 463,153.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.