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Finding the Third Proportional to 157,838 and 346,780

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Solution

The third proportional to 157,838 and 346,780 is: 761,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838 : 346,780 = 346,780 : x
  2. Step 2: Convert to fraction form
    157,838/346,780 = 346,780/x
  3. Step 3: Cross multiply
    157,838x = 346,780 × 346,780
  4. Step 4: Simplify right side
    157,838x = 120,256,368,400
  5. Step 5: Solve for x
    x = 120,256,368,400/157,838
  6. Step 6: Final answer
    x = 761,897.44

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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.