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Finding the Third Proportional to 191,038.50 and 294,576.75

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Solution

The third proportional to 191,038.50 and 294,576.75 is: 454,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,038.50 : 294,576.75 = 294,576.75 : x
  2. Step 2: Convert to fraction form
    191,038.50/294,576.75 = 294,576.75/x
  3. Step 3: Cross multiply
    191,038.50x = 294,576.75 × 294,576.75
  4. Step 4: Simplify right side
    191,038.50x = 86,775,461,640.56
  5. Step 5: Solve for x
    x = 86,775,461,640.56/191,038.50
  6. Step 6: Final answer
    x = 454,230.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.