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Finding the Third Proportional to 152,984 and 335,518

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Solution

The third proportional to 152,984 and 335,518 is: 735,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,984 : 335,518 = 335,518 : x
  2. Step 2: Convert to fraction form
    152,984/335,518 = 335,518/x
  3. Step 3: Cross multiply
    152,984x = 335,518 × 335,518
  4. Step 4: Simplify right side
    152,984x = 112,572,328,324
  5. Step 5: Solve for x
    x = 112,572,328,324/152,984
  6. Step 6: Final answer
    x = 735,843.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.