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Finding the Third Proportional to 119,849.63 and 266,304.38

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Solution

The third proportional to 119,849.63 and 266,304.38 is: 591,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,849.63 : 266,304.38 = 266,304.38 : x
  2. Step 2: Convert to fraction form
    119,849.63/266,304.38 = 266,304.38/x
  3. Step 3: Cross multiply
    119,849.63x = 266,304.38 × 266,304.38
  4. Step 4: Simplify right side
    119,849.63x = 70,918,020,144.14
  5. Step 5: Solve for x
    x = 70,918,020,144.14/119,849.63
  6. Step 6: Final answer
    x = 591,725.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.