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Finding the Third Proportional to 236,748 and 520,152

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Solution

The third proportional to 236,748 and 520,152 is: 1,142,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,748 : 520,152 = 520,152 : x
  2. Step 2: Convert to fraction form
    236,748/520,152 = 520,152/x
  3. Step 3: Cross multiply
    236,748x = 520,152 × 520,152
  4. Step 4: Simplify right side
    236,748x = 270,558,103,104
  5. Step 5: Solve for x
    x = 270,558,103,104/236,748
  6. Step 6: Final answer
    x = 1,142,810.51

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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.