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Finding the Third Proportional to 145,323 and 197,248

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Solution

The third proportional to 145,323 and 197,248 is: 267,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,323 : 197,248 = 197,248 : x
  2. Step 2: Convert to fraction form
    145,323/197,248 = 197,248/x
  3. Step 3: Cross multiply
    145,323x = 197,248 × 197,248
  4. Step 4: Simplify right side
    145,323x = 38,906,773,504
  5. Step 5: Solve for x
    x = 38,906,773,504/145,323
  6. Step 6: Final answer
    x = 267,726.19

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