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Finding the Third Proportional to 202,464 and 314,307

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Solution

The third proportional to 202,464 and 314,307 is: 487,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 314,307 = 314,307 : x
  2. Step 2: Convert to fraction form
    202,464/314,307 = 314,307/x
  3. Step 3: Cross multiply
    202,464x = 314,307 × 314,307
  4. Step 4: Simplify right side
    202,464x = 98,788,890,249
  5. Step 5: Solve for x
    x = 98,788,890,249/202,464
  6. Step 6: Final answer
    x = 487,933.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.