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Finding the Third Proportional to 157,766.50 and 346,151

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Solution

The third proportional to 157,766.50 and 346,151 is: 759,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,766.50 : 346,151 = 346,151 : x
  2. Step 2: Convert to fraction form
    157,766.50/346,151 = 346,151/x
  3. Step 3: Cross multiply
    157,766.50x = 346,151 × 346,151
  4. Step 4: Simplify right side
    157,766.50x = 119,820,514,801
  5. Step 5: Solve for x
    x = 119,820,514,801/157,766.50
  6. Step 6: Final answer
    x = 759,480.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.