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Finding the Third Proportional to 163,581 and 239,971.50

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Solution

The third proportional to 163,581 and 239,971.50 is: 352,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,581 : 239,971.50 = 239,971.50 : x
  2. Step 2: Convert to fraction form
    163,581/239,971.50 = 239,971.50/x
  3. Step 3: Cross multiply
    163,581x = 239,971.50 × 239,971.50
  4. Step 4: Simplify right side
    163,581x = 57,586,320,812.25
  5. Step 5: Solve for x
    x = 57,586,320,812.25/163,581
  6. Step 6: Final answer
    x = 352,035.51

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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.