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Finding the Third Proportional to 154,209.19 and 343,875.84

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Solution

The third proportional to 154,209.19 and 343,875.84 is: 766,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,209.19 : 343,875.84 = 343,875.84 : x
  2. Step 2: Convert to fraction form
    154,209.19/343,875.84 = 343,875.84/x
  3. Step 3: Cross multiply
    154,209.19x = 343,875.84 × 343,875.84
  4. Step 4: Simplify right side
    154,209.19x = 118,250,595,914.77
  5. Step 5: Solve for x
    x = 118,250,595,914.77/154,209.19
  6. Step 6: Final answer
    x = 766,819.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.