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Finding the Third Proportional to 207,480 and 293,604

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Solution

The third proportional to 207,480 and 293,604 is: 415,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,480 : 293,604 = 293,604 : x
  2. Step 2: Convert to fraction form
    207,480/293,604 = 293,604/x
  3. Step 3: Cross multiply
    207,480x = 293,604 × 293,604
  4. Step 4: Simplify right side
    207,480x = 86,203,308,816
  5. Step 5: Solve for x
    x = 86,203,308,816/207,480
  6. Step 6: Final answer
    x = 415,477.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.