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Finding the Third Proportional to 242,543 and 372,293

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Solution

The third proportional to 242,543 and 372,293 is: 571,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,543 : 372,293 = 372,293 : x
  2. Step 2: Convert to fraction form
    242,543/372,293 = 372,293/x
  3. Step 3: Cross multiply
    242,543x = 372,293 × 372,293
  4. Step 4: Simplify right side
    242,543x = 138,602,077,849
  5. Step 5: Solve for x
    x = 138,602,077,849/242,543
  6. Step 6: Final answer
    x = 571,453.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.