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Finding the Third Proportional to 153,020 and 236,361

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Solution

The third proportional to 153,020 and 236,361 is: 365,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,020 : 236,361 = 236,361 : x
  2. Step 2: Convert to fraction form
    153,020/236,361 = 236,361/x
  3. Step 3: Cross multiply
    153,020x = 236,361 × 236,361
  4. Step 4: Simplify right side
    153,020x = 55,866,522,321
  5. Step 5: Solve for x
    x = 55,866,522,321/153,020
  6. Step 6: Final answer
    x = 365,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.