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Finding the Third Proportional to 145,468 and 197,466

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Solution

The third proportional to 145,468 and 197,466 is: 268,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,468 : 197,466 = 197,466 : x
  2. Step 2: Convert to fraction form
    145,468/197,466 = 197,466/x
  3. Step 3: Cross multiply
    145,468x = 197,466 × 197,466
  4. Step 4: Simplify right side
    145,468x = 38,992,821,156
  5. Step 5: Solve for x
    x = 38,992,821,156/145,468
  6. Step 6: Final answer
    x = 268,050.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.