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Finding the Third Proportional to 134,274 and 292,514

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Solution

The third proportional to 134,274 and 292,514 is: 637,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,274 : 292,514 = 292,514 : x
  2. Step 2: Convert to fraction form
    134,274/292,514 = 292,514/x
  3. Step 3: Cross multiply
    134,274x = 292,514 × 292,514
  4. Step 4: Simplify right side
    134,274x = 85,564,440,196
  5. Step 5: Solve for x
    x = 85,564,440,196/134,274
  6. Step 6: Final answer
    x = 637,237.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.