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Finding the Third Proportional to 202,376 and 304,216

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Solution

The third proportional to 202,376 and 304,216 is: 457,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,376 : 304,216 = 304,216 : x
  2. Step 2: Convert to fraction form
    202,376/304,216 = 304,216/x
  3. Step 3: Cross multiply
    202,376x = 304,216 × 304,216
  4. Step 4: Simplify right side
    202,376x = 92,547,374,656
  5. Step 5: Solve for x
    x = 92,547,374,656/202,376
  6. Step 6: Final answer
    x = 457,304.10

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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.