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Finding the Third Proportional to 253,468 and 354,368

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Solution

The third proportional to 253,468 and 354,368 is: 495,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,468 : 354,368 = 354,368 : x
  2. Step 2: Convert to fraction form
    253,468/354,368 = 354,368/x
  3. Step 3: Cross multiply
    253,468x = 354,368 × 354,368
  4. Step 4: Simplify right side
    253,468x = 125,576,679,424
  5. Step 5: Solve for x
    x = 125,576,679,424/253,468
  6. Step 6: Final answer
    x = 495,434.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.