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Finding the Third Proportional to 145,656 and 219,820

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Solution

The third proportional to 145,656 and 219,820 is: 331,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656 : 219,820 = 219,820 : x
  2. Step 2: Convert to fraction form
    145,656/219,820 = 219,820/x
  3. Step 3: Cross multiply
    145,656x = 219,820 × 219,820
  4. Step 4: Simplify right side
    145,656x = 48,320,832,400
  5. Step 5: Solve for x
    x = 48,320,832,400/145,656
  6. Step 6: Final answer
    x = 331,746.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.