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Finding the Third Proportional to 157,636.13 and 238,089.38

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Solution

The third proportional to 157,636.13 and 238,089.38 is: 359,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,636.13 : 238,089.38 = 238,089.38 : x
  2. Step 2: Convert to fraction form
    157,636.13/238,089.38 = 238,089.38/x
  3. Step 3: Cross multiply
    157,636.13x = 238,089.38 × 238,089.38
  4. Step 4: Simplify right side
    157,636.13x = 56,686,550,487.89
  5. Step 5: Solve for x
    x = 56,686,550,487.89/157,636.13
  6. Step 6: Final answer
    x = 359,603.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.