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Finding the Third Proportional to 223,248 and 340,113

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Solution

The third proportional to 223,248 and 340,113 is: 518,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,248 : 340,113 = 340,113 : x
  2. Step 2: Convert to fraction form
    223,248/340,113 = 340,113/x
  3. Step 3: Cross multiply
    223,248x = 340,113 × 340,113
  4. Step 4: Simplify right side
    223,248x = 115,676,852,769
  5. Step 5: Solve for x
    x = 115,676,852,769/223,248
  6. Step 6: Final answer
    x = 518,154.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.