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Finding the Third Proportional to 180,167 and 382,557.50

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Solution

The third proportional to 180,167 and 382,557.50 is: 812,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,167 : 382,557.50 = 382,557.50 : x
  2. Step 2: Convert to fraction form
    180,167/382,557.50 = 382,557.50/x
  3. Step 3: Cross multiply
    180,167x = 382,557.50 × 382,557.50
  4. Step 4: Simplify right side
    180,167x = 146,350,240,806.25
  5. Step 5: Solve for x
    x = 146,350,240,806.25/180,167
  6. Step 6: Final answer
    x = 812,303.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.