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Finding the Third Proportional to 194,929.50 and 293,834.25

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Solution

The third proportional to 194,929.50 and 293,834.25 is: 442,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,929.50 : 293,834.25 = 293,834.25 : x
  2. Step 2: Convert to fraction form
    194,929.50/293,834.25 = 293,834.25/x
  3. Step 3: Cross multiply
    194,929.50x = 293,834.25 × 293,834.25
  4. Step 4: Simplify right side
    194,929.50x = 86,338,566,473.06
  5. Step 5: Solve for x
    x = 86,338,566,473.06/194,929.50
  6. Step 6: Final answer
    x = 442,922.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.