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Finding the Third Proportional to 157,599 and 235,841.63

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Solution

The third proportional to 157,599 and 235,841.63 is: 352,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,599 : 235,841.63 = 235,841.63 : x
  2. Step 2: Convert to fraction form
    157,599/235,841.63 = 235,841.63/x
  3. Step 3: Cross multiply
    157,599x = 235,841.63 × 235,841.63
  4. Step 4: Simplify right side
    157,599x = 55,621,272,082.64
  5. Step 5: Solve for x
    x = 55,621,272,082.64/157,599
  6. Step 6: Final answer
    x = 352,929.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.