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Finding the Third Proportional to 253,454 and 354,346

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Solution

The third proportional to 253,454 and 354,346 is: 495,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,454 : 354,346 = 354,346 : x
  2. Step 2: Convert to fraction form
    253,454/354,346 = 354,346/x
  3. Step 3: Cross multiply
    253,454x = 354,346 × 354,346
  4. Step 4: Simplify right side
    253,454x = 125,561,087,716
  5. Step 5: Solve for x
    x = 125,561,087,716/253,454
  6. Step 6: Final answer
    x = 495,399.91

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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.