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Finding the Third Proportional to 242,050 and 355,298

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Solution

The third proportional to 242,050 and 355,298 is: 521,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,050 : 355,298 = 355,298 : x
  2. Step 2: Convert to fraction form
    242,050/355,298 = 355,298/x
  3. Step 3: Cross multiply
    242,050x = 355,298 × 355,298
  4. Step 4: Simplify right side
    242,050x = 126,236,668,804
  5. Step 5: Solve for x
    x = 126,236,668,804/242,050
  6. Step 6: Final answer
    x = 521,531.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.