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Finding the Third Proportional to 207,335 and 311,792

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Solution

The third proportional to 207,335 and 311,792 is: 468,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,335 : 311,792 = 311,792 : x
  2. Step 2: Convert to fraction form
    207,335/311,792 = 311,792/x
  3. Step 3: Cross multiply
    207,335x = 311,792 × 311,792
  4. Step 4: Simplify right side
    207,335x = 97,214,251,264
  5. Step 5: Solve for x
    x = 97,214,251,264/207,335
  6. Step 6: Final answer
    x = 468,875.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.