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Finding the Third Proportional to 157,848.75 and 346,257

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Solution

The third proportional to 157,848.75 and 346,257 is: 759,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848.75 : 346,257 = 346,257 : x
  2. Step 2: Convert to fraction form
    157,848.75/346,257 = 346,257/x
  3. Step 3: Cross multiply
    157,848.75x = 346,257 × 346,257
  4. Step 4: Simplify right side
    157,848.75x = 119,893,910,049
  5. Step 5: Solve for x
    x = 119,893,910,049/157,848.75
  6. Step 6: Final answer
    x = 759,549.32

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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.