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Finding the Third Proportional to 159,527 and 348,032

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Solution

The third proportional to 159,527 and 348,032 is: 759,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,527 : 348,032 = 348,032 : x
  2. Step 2: Convert to fraction form
    159,527/348,032 = 348,032/x
  3. Step 3: Cross multiply
    159,527x = 348,032 × 348,032
  4. Step 4: Simplify right side
    159,527x = 121,126,273,024
  5. Step 5: Solve for x
    x = 121,126,273,024/159,527
  6. Step 6: Final answer
    x = 759,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.