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Finding the Third Proportional to 199,877.63 and 264,095.44

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Solution

The third proportional to 199,877.63 and 264,095.44 is: 348,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,877.63 : 264,095.44 = 264,095.44 : x
  2. Step 2: Convert to fraction form
    199,877.63/264,095.44 = 264,095.44/x
  3. Step 3: Cross multiply
    199,877.63x = 264,095.44 × 264,095.44
  4. Step 4: Simplify right side
    199,877.63x = 69,746,400,108.32
  5. Step 5: Solve for x
    x = 69,746,400,108.32/199,877.63
  6. Step 6: Final answer
    x = 348,945.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.