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Finding the Third Proportional to 194,052 and 291,798

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Solution

The third proportional to 194,052 and 291,798 is: 438,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,052 : 291,798 = 291,798 : x
  2. Step 2: Convert to fraction form
    194,052/291,798 = 291,798/x
  3. Step 3: Cross multiply
    194,052x = 291,798 × 291,798
  4. Step 4: Simplify right side
    194,052x = 85,146,072,804
  5. Step 5: Solve for x
    x = 85,146,072,804/194,052
  6. Step 6: Final answer
    x = 438,779.67

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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.