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Finding the Third Proportional to 114,315 and 169,816

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Solution

The third proportional to 114,315 and 169,816 is: 252,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,315 : 169,816 = 169,816 : x
  2. Step 2: Convert to fraction form
    114,315/169,816 = 169,816/x
  3. Step 3: Cross multiply
    114,315x = 169,816 × 169,816
  4. Step 4: Simplify right side
    114,315x = 28,837,473,856
  5. Step 5: Solve for x
    x = 28,837,473,856/114,315
  6. Step 6: Final answer
    x = 252,263.25

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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.