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Finding the Third Proportional to 158,431 and 352,283

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Solution

The third proportional to 158,431 and 352,283 is: 783,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,431 : 352,283 = 352,283 : x
  2. Step 2: Convert to fraction form
    158,431/352,283 = 352,283/x
  3. Step 3: Cross multiply
    158,431x = 352,283 × 352,283
  4. Step 4: Simplify right side
    158,431x = 124,103,312,089
  5. Step 5: Solve for x
    x = 124,103,312,089/158,431
  6. Step 6: Final answer
    x = 783,327.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.