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Finding the Third Proportional to 117,075.38 and 251,899.88

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Solution

The third proportional to 117,075.38 and 251,899.88 is: 541,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,075.38 : 251,899.88 = 251,899.88 : x
  2. Step 2: Convert to fraction form
    117,075.38/251,899.88 = 251,899.88/x
  3. Step 3: Cross multiply
    117,075.38x = 251,899.88 × 251,899.88
  4. Step 4: Simplify right side
    117,075.38x = 63,453,547,025.02
  5. Step 5: Solve for x
    x = 63,453,547,025.02/117,075.38
  6. Step 6: Final answer
    x = 541,988.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.