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Finding the Third Proportional to 195,064 and 291,320

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Solution

The third proportional to 195,064 and 291,320 is: 435,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,064 : 291,320 = 291,320 : x
  2. Step 2: Convert to fraction form
    195,064/291,320 = 291,320/x
  3. Step 3: Cross multiply
    195,064x = 291,320 × 291,320
  4. Step 4: Simplify right side
    195,064x = 84,867,342,400
  5. Step 5: Solve for x
    x = 84,867,342,400/195,064
  6. Step 6: Final answer
    x = 435,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.