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Finding the Third Proportional to 115,394.63 and 260,420.06

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Solution

The third proportional to 115,394.63 and 260,420.06 is: 587,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,394.63 : 260,420.06 = 260,420.06 : x
  2. Step 2: Convert to fraction form
    115,394.63/260,420.06 = 260,420.06/x
  3. Step 3: Cross multiply
    115,394.63x = 260,420.06 × 260,420.06
  4. Step 4: Simplify right side
    115,394.63x = 67,818,608,952.50
  5. Step 5: Solve for x
    x = 67,818,608,952.50/115,394.63
  6. Step 6: Final answer
    x = 587,710.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.