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Finding the Third Proportional to 225,073.50 and 346,971

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Solution

The third proportional to 225,073.50 and 346,971 is: 534,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,073.50 : 346,971 = 346,971 : x
  2. Step 2: Convert to fraction form
    225,073.50/346,971 = 346,971/x
  3. Step 3: Cross multiply
    225,073.50x = 346,971 × 346,971
  4. Step 4: Simplify right side
    225,073.50x = 120,388,874,841
  5. Step 5: Solve for x
    x = 120,388,874,841/225,073.50
  6. Step 6: Final answer
    x = 534,886.94

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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.