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Finding the Third Proportional to 242,570 and 368,751

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Solution

The third proportional to 242,570 and 368,751 is: 560,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570 : 368,751 = 368,751 : x
  2. Step 2: Convert to fraction form
    242,570/368,751 = 368,751/x
  3. Step 3: Cross multiply
    242,570x = 368,751 × 368,751
  4. Step 4: Simplify right side
    242,570x = 135,977,300,001
  5. Step 5: Solve for x
    x = 135,977,300,001/242,570
  6. Step 6: Final answer
    x = 560,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.