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Finding the Third Proportional to 207,622 and 310,349

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Solution

The third proportional to 207,622 and 310,349 is: 463,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,622 : 310,349 = 310,349 : x
  2. Step 2: Convert to fraction form
    207,622/310,349 = 310,349/x
  3. Step 3: Cross multiply
    207,622x = 310,349 × 310,349
  4. Step 4: Simplify right side
    207,622x = 96,316,501,801
  5. Step 5: Solve for x
    x = 96,316,501,801/207,622
  6. Step 6: Final answer
    x = 463,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.