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Finding the Third Proportional to 200,967.75 and 431,075.25

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Solution

The third proportional to 200,967.75 and 431,075.25 is: 924,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.75 : 431,075.25 = 431,075.25 : x
  2. Step 2: Convert to fraction form
    200,967.75/431,075.25 = 431,075.25/x
  3. Step 3: Cross multiply
    200,967.75x = 431,075.25 × 431,075.25
  4. Step 4: Simplify right side
    200,967.75x = 185,825,871,162.56
  5. Step 5: Solve for x
    x = 185,825,871,162.56/200,967.75
  6. Step 6: Final answer
    x = 924,655.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.