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Finding the Third Proportional to 223,120 and 312,792

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Solution

The third proportional to 223,120 and 312,792 is: 438,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,120 : 312,792 = 312,792 : x
  2. Step 2: Convert to fraction form
    223,120/312,792 = 312,792/x
  3. Step 3: Cross multiply
    223,120x = 312,792 × 312,792
  4. Step 4: Simplify right side
    223,120x = 97,838,835,264
  5. Step 5: Solve for x
    x = 97,838,835,264/223,120
  6. Step 6: Final answer
    x = 438,503.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.