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Finding the Third Proportional to 154,473.50 and 338,473

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Solution

The third proportional to 154,473.50 and 338,473 is: 741,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473.50 : 338,473 = 338,473 : x
  2. Step 2: Convert to fraction form
    154,473.50/338,473 = 338,473/x
  3. Step 3: Cross multiply
    154,473.50x = 338,473 × 338,473
  4. Step 4: Simplify right side
    154,473.50x = 114,563,971,729
  5. Step 5: Solve for x
    x = 114,563,971,729/154,473.50
  6. Step 6: Final answer
    x = 741,641.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.