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Finding the Third Proportional to 237,812.06 and 368,071.88

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Solution

The third proportional to 237,812.06 and 368,071.88 is: 569,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,812.06 : 368,071.88 = 368,071.88 : x
  2. Step 2: Convert to fraction form
    237,812.06/368,071.88 = 368,071.88/x
  3. Step 3: Cross multiply
    237,812.06x = 368,071.88 × 368,071.88
  4. Step 4: Simplify right side
    237,812.06x = 135,476,905,166.02
  5. Step 5: Solve for x
    x = 135,476,905,166.02/237,812.06
  6. Step 6: Final answer
    x = 569,680.54

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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.