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Finding the Third Proportional to 145,572 and 206,208

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Solution

The third proportional to 145,572 and 206,208 is: 292,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572 : 206,208 = 206,208 : x
  2. Step 2: Convert to fraction form
    145,572/206,208 = 206,208/x
  3. Step 3: Cross multiply
    145,572x = 206,208 × 206,208
  4. Step 4: Simplify right side
    145,572x = 42,521,739,264
  5. Step 5: Solve for x
    x = 42,521,739,264/145,572
  6. Step 6: Final answer
    x = 292,101.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.