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Finding the Third Proportional to 202,284 and 304,074

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Solution

The third proportional to 202,284 and 304,074 is: 457,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284 : 304,074 = 304,074 : x
  2. Step 2: Convert to fraction form
    202,284/304,074 = 304,074/x
  3. Step 3: Cross multiply
    202,284x = 304,074 × 304,074
  4. Step 4: Simplify right side
    202,284x = 92,460,997,476
  5. Step 5: Solve for x
    x = 92,460,997,476/202,284
  6. Step 6: Final answer
    x = 457,085.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.