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Finding the Third Proportional to 145,326 and 197,253

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Solution

The third proportional to 145,326 and 197,253 is: 267,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,326 : 197,253 = 197,253 : x
  2. Step 2: Convert to fraction form
    145,326/197,253 = 197,253/x
  3. Step 3: Cross multiply
    145,326x = 197,253 × 197,253
  4. Step 4: Simplify right side
    145,326x = 38,908,746,009
  5. Step 5: Solve for x
    x = 38,908,746,009/145,326
  6. Step 6: Final answer
    x = 267,734.24

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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.