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Finding the Third Proportional to 201,747 and 296,779.50

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Solution

The third proportional to 201,747 and 296,779.50 is: 436,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,747 : 296,779.50 = 296,779.50 : x
  2. Step 2: Convert to fraction form
    201,747/296,779.50 = 296,779.50/x
  3. Step 3: Cross multiply
    201,747x = 296,779.50 × 296,779.50
  4. Step 4: Simplify right side
    201,747x = 88,078,071,620.25
  5. Step 5: Solve for x
    x = 88,078,071,620.25/201,747
  6. Step 6: Final answer
    x = 436,576.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.