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Finding the Third Proportional to 163,581 and 239,970

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Solution

The third proportional to 163,581 and 239,970 is: 352,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,581 : 239,970 = 239,970 : x
  2. Step 2: Convert to fraction form
    163,581/239,970 = 239,970/x
  3. Step 3: Cross multiply
    163,581x = 239,970 × 239,970
  4. Step 4: Simplify right side
    163,581x = 57,585,600,900
  5. Step 5: Solve for x
    x = 57,585,600,900/163,581
  6. Step 6: Final answer
    x = 352,031.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.