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Finding the Third Proportional to 124,237.50 and 268,146

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Solution

The third proportional to 124,237.50 and 268,146 is: 578,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,237.50 : 268,146 = 268,146 : x
  2. Step 2: Convert to fraction form
    124,237.50/268,146 = 268,146/x
  3. Step 3: Cross multiply
    124,237.50x = 268,146 × 268,146
  4. Step 4: Simplify right side
    124,237.50x = 71,902,277,316
  5. Step 5: Solve for x
    x = 71,902,277,316/124,237.50
  6. Step 6: Final answer
    x = 578,748.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.