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Finding the Third Proportional to 233,254 and 371,332

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Solution

The third proportional to 233,254 and 371,332 is: 591,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,254 : 371,332 = 371,332 : x
  2. Step 2: Convert to fraction form
    233,254/371,332 = 371,332/x
  3. Step 3: Cross multiply
    233,254x = 371,332 × 371,332
  4. Step 4: Simplify right side
    233,254x = 137,887,454,224
  5. Step 5: Solve for x
    x = 137,887,454,224/233,254
  6. Step 6: Final answer
    x = 591,147.22

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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.