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Finding the Third Proportional to 233,239 and 371,309

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Solution

The third proportional to 233,239 and 371,309 is: 591,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239 : 371,309 = 371,309 : x
  2. Step 2: Convert to fraction form
    233,239/371,309 = 371,309/x
  3. Step 3: Cross multiply
    233,239x = 371,309 × 371,309
  4. Step 4: Simplify right side
    233,239x = 137,870,373,481
  5. Step 5: Solve for x
    x = 137,870,373,481/233,239
  6. Step 6: Final answer
    x = 591,112.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.