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Finding the Third Proportional to 207,612 and 310,335

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Solution

The third proportional to 207,612 and 310,335 is: 463,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,612 : 310,335 = 310,335 : x
  2. Step 2: Convert to fraction form
    207,612/310,335 = 310,335/x
  3. Step 3: Cross multiply
    207,612x = 310,335 × 310,335
  4. Step 4: Simplify right side
    207,612x = 96,307,812,225
  5. Step 5: Solve for x
    x = 96,307,812,225/207,612
  6. Step 6: Final answer
    x = 463,883.65

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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.