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Finding the Third Proportional to 159,574 and 236,280

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Solution

The third proportional to 159,574 and 236,280 is: 349,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,574 : 236,280 = 236,280 : x
  2. Step 2: Convert to fraction form
    159,574/236,280 = 236,280/x
  3. Step 3: Cross multiply
    159,574x = 236,280 × 236,280
  4. Step 4: Simplify right side
    159,574x = 55,828,238,400
  5. Step 5: Solve for x
    x = 55,828,238,400/159,574
  6. Step 6: Final answer
    x = 349,857.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.