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Finding the Third Proportional to 154,253 and 233,020

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Solution

The third proportional to 154,253 and 233,020 is: 352,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,253 : 233,020 = 233,020 : x
  2. Step 2: Convert to fraction form
    154,253/233,020 = 233,020/x
  3. Step 3: Cross multiply
    154,253x = 233,020 × 233,020
  4. Step 4: Simplify right side
    154,253x = 54,298,320,400
  5. Step 5: Solve for x
    x = 54,298,320,400/154,253
  6. Step 6: Final answer
    x = 352,008.20

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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.