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Finding the Third Proportional to 225,520 and 346,752

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Solution

The third proportional to 225,520 and 346,752 is: 533,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,520 : 346,752 = 346,752 : x
  2. Step 2: Convert to fraction form
    225,520/346,752 = 346,752/x
  3. Step 3: Cross multiply
    225,520x = 346,752 × 346,752
  4. Step 4: Simplify right side
    225,520x = 120,236,949,504
  5. Step 5: Solve for x
    x = 120,236,949,504/225,520
  6. Step 6: Final answer
    x = 533,154.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.