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Finding the Third Proportional to 200,075 and 308,432

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Solution

The third proportional to 200,075 and 308,432 is: 475,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075 : 308,432 = 308,432 : x
  2. Step 2: Convert to fraction form
    200,075/308,432 = 308,432/x
  3. Step 3: Cross multiply
    200,075x = 308,432 × 308,432
  4. Step 4: Simplify right side
    200,075x = 95,130,298,624
  5. Step 5: Solve for x
    x = 95,130,298,624/200,075
  6. Step 6: Final answer
    x = 475,473.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.