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Finding the Third Proportional to 116,569.50 and 254,211

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Solution

The third proportional to 116,569.50 and 254,211 is: 554,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569.50 : 254,211 = 254,211 : x
  2. Step 2: Convert to fraction form
    116,569.50/254,211 = 254,211/x
  3. Step 3: Cross multiply
    116,569.50x = 254,211 × 254,211
  4. Step 4: Simplify right side
    116,569.50x = 64,623,232,521
  5. Step 5: Solve for x
    x = 64,623,232,521/116,569.50
  6. Step 6: Final answer
    x = 554,375.14

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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.