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Finding the Third Proportional to 237,080 and 346,260

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Solution

The third proportional to 237,080 and 346,260 is: 505,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,080 : 346,260 = 346,260 : x
  2. Step 2: Convert to fraction form
    237,080/346,260 = 346,260/x
  3. Step 3: Cross multiply
    237,080x = 346,260 × 346,260
  4. Step 4: Simplify right side
    237,080x = 119,895,987,600
  5. Step 5: Solve for x
    x = 119,895,987,600/237,080
  6. Step 6: Final answer
    x = 505,719.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.