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Finding the Third Proportional to 207,700 and 297,014

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Solution

The third proportional to 207,700 and 297,014 is: 424,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,700 : 297,014 = 297,014 : x
  2. Step 2: Convert to fraction form
    207,700/297,014 = 297,014/x
  3. Step 3: Cross multiply
    207,700x = 297,014 × 297,014
  4. Step 4: Simplify right side
    207,700x = 88,217,316,196
  5. Step 5: Solve for x
    x = 88,217,316,196/207,700
  6. Step 6: Final answer
    x = 424,734.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.