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Finding the Third Proportional to 200,632 and 304,888

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Solution

The third proportional to 200,632 and 304,888 is: 463,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,632 : 304,888 = 304,888 : x
  2. Step 2: Convert to fraction form
    200,632/304,888 = 304,888/x
  3. Step 3: Cross multiply
    200,632x = 304,888 × 304,888
  4. Step 4: Simplify right side
    200,632x = 92,956,692,544
  5. Step 5: Solve for x
    x = 92,956,692,544/200,632
  6. Step 6: Final answer
    x = 463,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.