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Finding the Third Proportional to 107,784 and 236,756.25

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Solution

The third proportional to 107,784 and 236,756.25 is: 520,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784 : 236,756.25 = 236,756.25 : x
  2. Step 2: Convert to fraction form
    107,784/236,756.25 = 236,756.25/x
  3. Step 3: Cross multiply
    107,784x = 236,756.25 × 236,756.25
  4. Step 4: Simplify right side
    107,784x = 56,053,521,914.06
  5. Step 5: Solve for x
    x = 56,053,521,914.06/107,784
  6. Step 6: Final answer
    x = 520,054.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.