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Finding the Third Proportional to 115,830 and 253,803

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Solution

The third proportional to 115,830 and 253,803 is: 556,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830 : 253,803 = 253,803 : x
  2. Step 2: Convert to fraction form
    115,830/253,803 = 253,803/x
  3. Step 3: Cross multiply
    115,830x = 253,803 × 253,803
  4. Step 4: Simplify right side
    115,830x = 64,415,962,809
  5. Step 5: Solve for x
    x = 64,415,962,809/115,830
  6. Step 6: Final answer
    x = 556,125.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.