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Finding the Third Proportional to 255,340.13 and 384,111

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Solution

The third proportional to 255,340.13 and 384,111 is: 577,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,340.13 : 384,111 = 384,111 : x
  2. Step 2: Convert to fraction form
    255,340.13/384,111 = 384,111/x
  3. Step 3: Cross multiply
    255,340.13x = 384,111 × 384,111
  4. Step 4: Simplify right side
    255,340.13x = 147,541,260,321
  5. Step 5: Solve for x
    x = 147,541,260,321/255,340.13
  6. Step 6: Final answer
    x = 577,822.46

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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.