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Finding the Third Proportional to 153,292 and 223,986

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Solution

The third proportional to 153,292 and 223,986 is: 327,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,292 : 223,986 = 223,986 : x
  2. Step 2: Convert to fraction form
    153,292/223,986 = 223,986/x
  3. Step 3: Cross multiply
    153,292x = 223,986 × 223,986
  4. Step 4: Simplify right side
    153,292x = 50,169,728,196
  5. Step 5: Solve for x
    x = 50,169,728,196/153,292
  6. Step 6: Final answer
    x = 327,282.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.