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Finding the Third Proportional to 153,063 and 237,588.19

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Solution

The third proportional to 153,063 and 237,588.19 is: 368,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,063 : 237,588.19 = 237,588.19 : x
  2. Step 2: Convert to fraction form
    153,063/237,588.19 = 237,588.19/x
  3. Step 3: Cross multiply
    153,063x = 237,588.19 × 237,588.19
  4. Step 4: Simplify right side
    153,063x = 56,448,146,839.54
  5. Step 5: Solve for x
    x = 56,448,146,839.54/153,063
  6. Step 6: Final answer
    x = 368,790.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.