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Finding the Third Proportional to 207,616 and 310,342

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Solution

The third proportional to 207,616 and 310,342 is: 463,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,616 : 310,342 = 310,342 : x
  2. Step 2: Convert to fraction form
    207,616/310,342 = 310,342/x
  3. Step 3: Cross multiply
    207,616x = 310,342 × 310,342
  4. Step 4: Simplify right side
    207,616x = 96,312,156,964
  5. Step 5: Solve for x
    x = 96,312,156,964/207,616
  6. Step 6: Final answer
    x = 463,895.64

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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.