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Finding the Third Proportional to 248,509.13 and 388,756.13

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Solution

The third proportional to 248,509.13 and 388,756.13 is: 608,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,509.13 : 388,756.13 = 388,756.13 : x
  2. Step 2: Convert to fraction form
    248,509.13/388,756.13 = 388,756.13/x
  3. Step 3: Cross multiply
    248,509.13x = 388,756.13 × 388,756.13
  4. Step 4: Simplify right side
    248,509.13x = 151,131,324,725.02
  5. Step 5: Solve for x
    x = 151,131,324,725.02/248,509.13
  6. Step 6: Final answer
    x = 608,152.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.