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Finding the Third Proportional to 178,001.30 and 237,779.30

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Solution

The third proportional to 178,001.30 and 237,779.30 is: 317,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,001.30 : 237,779.30 = 237,779.30 : x
  2. Step 2: Convert to fraction form
    178,001.30/237,779.30 = 237,779.30/x
  3. Step 3: Cross multiply
    178,001.30x = 237,779.30 × 237,779.30
  4. Step 4: Simplify right side
    178,001.30x = 56,538,994,022.37
  5. Step 5: Solve for x
    x = 56,538,994,022.37/178,001.30
  6. Step 6: Final answer
    x = 317,632.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.