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Finding the Third Proportional to 236,752 and 520,160

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Solution

The third proportional to 236,752 and 520,160 is: 1,142,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,752 : 520,160 = 520,160 : x
  2. Step 2: Convert to fraction form
    236,752/520,160 = 520,160/x
  3. Step 3: Cross multiply
    236,752x = 520,160 × 520,160
  4. Step 4: Simplify right side
    236,752x = 270,566,425,600
  5. Step 5: Solve for x
    x = 270,566,425,600/236,752
  6. Step 6: Final answer
    x = 1,142,826.36

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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.