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Finding the Third Proportional to 153,010 and 236,331

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Solution

The third proportional to 153,010 and 236,331 is: 365,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010 : 236,331 = 236,331 : x
  2. Step 2: Convert to fraction form
    153,010/236,331 = 236,331/x
  3. Step 3: Cross multiply
    153,010x = 236,331 × 236,331
  4. Step 4: Simplify right side
    153,010x = 55,852,341,561
  5. Step 5: Solve for x
    x = 55,852,341,561/153,010
  6. Step 6: Final answer
    x = 365,024.13

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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.