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Finding the Third Proportional to 105,752 and 232,240

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Solution

The third proportional to 105,752 and 232,240 is: 510,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752 : 232,240 = 232,240 : x
  2. Step 2: Convert to fraction form
    105,752/232,240 = 232,240/x
  3. Step 3: Cross multiply
    105,752x = 232,240 × 232,240
  4. Step 4: Simplify right side
    105,752x = 53,935,417,600
  5. Step 5: Solve for x
    x = 53,935,417,600/105,752
  6. Step 6: Final answer
    x = 510,017.94

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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.