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Finding the Third Proportional to 123,985.69 and 258,698.81

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Solution

The third proportional to 123,985.69 and 258,698.81 is: 539,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,985.69 : 258,698.81 = 258,698.81 : x
  2. Step 2: Convert to fraction form
    123,985.69/258,698.81 = 258,698.81/x
  3. Step 3: Cross multiply
    123,985.69x = 258,698.81 × 258,698.81
  4. Step 4: Simplify right side
    123,985.69x = 66,925,075,588.91
  5. Step 5: Solve for x
    x = 66,925,075,588.91/123,985.69
  6. Step 6: Final answer
    x = 539,780.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.