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Finding the Third Proportional to 118,303.13 and 258,016.69

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Solution

The third proportional to 118,303.13 and 258,016.69 is: 562,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,303.13 : 258,016.69 = 258,016.69 : x
  2. Step 2: Convert to fraction form
    118,303.13/258,016.69 = 258,016.69/x
  3. Step 3: Cross multiply
    118,303.13x = 258,016.69 × 258,016.69
  4. Step 4: Simplify right side
    118,303.13x = 66,572,611,028.47
  5. Step 5: Solve for x
    x = 66,572,611,028.47/118,303.13
  6. Step 6: Final answer
    x = 562,729.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.