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Finding the Third Proportional to 175,324.50 and 382,239

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Solution

The third proportional to 175,324.50 and 382,239 is: 833,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,324.50 : 382,239 = 382,239 : x
  2. Step 2: Convert to fraction form
    175,324.50/382,239 = 382,239/x
  3. Step 3: Cross multiply
    175,324.50x = 382,239 × 382,239
  4. Step 4: Simplify right side
    175,324.50x = 146,106,653,121
  5. Step 5: Solve for x
    x = 146,106,653,121/175,324.50
  6. Step 6: Final answer
    x = 833,349.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.