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Finding the Third Proportional to 234,075.75 and 372,498

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Solution

The third proportional to 234,075.75 and 372,498 is: 592,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,075.75 : 372,498 = 372,498 : x
  2. Step 2: Convert to fraction form
    234,075.75/372,498 = 372,498/x
  3. Step 3: Cross multiply
    234,075.75x = 372,498 × 372,498
  4. Step 4: Simplify right side
    234,075.75x = 138,754,760,004
  5. Step 5: Solve for x
    x = 138,754,760,004/234,075.75
  6. Step 6: Final answer
    x = 592,777.17

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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.