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Finding the Third Proportional to 158,020.50 and 346,953

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Solution

The third proportional to 158,020.50 and 346,953 is: 761,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,020.50 : 346,953 = 346,953 : x
  2. Step 2: Convert to fraction form
    158,020.50/346,953 = 346,953/x
  3. Step 3: Cross multiply
    158,020.50x = 346,953 × 346,953
  4. Step 4: Simplify right side
    158,020.50x = 120,376,384,209
  5. Step 5: Solve for x
    x = 120,376,384,209/158,020.50
  6. Step 6: Final answer
    x = 761,777.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.