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Finding the Third Proportional to 237,868.29 and 368,068.74

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Solution

The third proportional to 237,868.29 and 368,068.74 is: 569,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,868.29 : 368,068.74 = 368,068.74 : x
  2. Step 2: Convert to fraction form
    237,868.29/368,068.74 = 368,068.74/x
  3. Step 3: Cross multiply
    237,868.29x = 368,068.74 × 368,068.74
  4. Step 4: Simplify right side
    237,868.29x = 135,474,594,572.31
  5. Step 5: Solve for x
    x = 135,474,594,572.31/237,868.29
  6. Step 6: Final answer
    x = 569,536.18

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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.