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Finding the Third Proportional to 174,789.50 and 264,547

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Solution

The third proportional to 174,789.50 and 264,547 is: 400,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,789.50 : 264,547 = 264,547 : x
  2. Step 2: Convert to fraction form
    174,789.50/264,547 = 264,547/x
  3. Step 3: Cross multiply
    174,789.50x = 264,547 × 264,547
  4. Step 4: Simplify right side
    174,789.50x = 69,985,115,209
  5. Step 5: Solve for x
    x = 69,985,115,209/174,789.50
  6. Step 6: Final answer
    x = 400,396.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.