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Finding the Third Proportional to 70,248 and 154,032

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Solution

The third proportional to 70,248 and 154,032 is: 337,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,248 : 154,032 = 154,032 : x
  2. Step 2: Convert to fraction form
    70,248/154,032 = 154,032/x
  3. Step 3: Cross multiply
    70,248x = 154,032 × 154,032
  4. Step 4: Simplify right side
    70,248x = 23,725,857,024
  5. Step 5: Solve for x
    x = 23,725,857,024/70,248
  6. Step 6: Final answer
    x = 337,744.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.