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Finding the Third Proportional to 152,020.13 and 236,638.13

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Solution

The third proportional to 152,020.13 and 236,638.13 is: 368,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,020.13 : 236,638.13 = 236,638.13 : x
  2. Step 2: Convert to fraction form
    152,020.13/236,638.13 = 236,638.13/x
  3. Step 3: Cross multiply
    152,020.13x = 236,638.13 × 236,638.13
  4. Step 4: Simplify right side
    152,020.13x = 55,997,602,203.52
  5. Step 5: Solve for x
    x = 55,997,602,203.52/152,020.13
  6. Step 6: Final answer
    x = 368,356.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.