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Finding the Third Proportional to 200,075 and 292,624

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Solution

The third proportional to 200,075 and 292,624 is: 427,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075 : 292,624 = 292,624 : x
  2. Step 2: Convert to fraction form
    200,075/292,624 = 292,624/x
  3. Step 3: Cross multiply
    200,075x = 292,624 × 292,624
  4. Step 4: Simplify right side
    200,075x = 85,628,805,376
  5. Step 5: Solve for x
    x = 85,628,805,376/200,075
  6. Step 6: Final answer
    x = 427,983.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.