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Finding the Third Proportional to 157,850 and 346,804

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Solution

The third proportional to 157,850 and 346,804 is: 761,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,850 : 346,804 = 346,804 : x
  2. Step 2: Convert to fraction form
    157,850/346,804 = 346,804/x
  3. Step 3: Cross multiply
    157,850x = 346,804 × 346,804
  4. Step 4: Simplify right side
    157,850x = 120,273,014,416
  5. Step 5: Solve for x
    x = 120,273,014,416/157,850
  6. Step 6: Final answer
    x = 761,944.98

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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.