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Finding the Third Proportional to 207,234 and 314,904

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Solution

The third proportional to 207,234 and 314,904 is: 478,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234 : 314,904 = 314,904 : x
  2. Step 2: Convert to fraction form
    207,234/314,904 = 314,904/x
  3. Step 3: Cross multiply
    207,234x = 314,904 × 314,904
  4. Step 4: Simplify right side
    207,234x = 99,164,529,216
  5. Step 5: Solve for x
    x = 99,164,529,216/207,234
  6. Step 6: Final answer
    x = 478,514.77

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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.