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Finding the Third Proportional to 114,570.75 and 251,710.50

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Solution

The third proportional to 114,570.75 and 251,710.50 is: 553,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,570.75 : 251,710.50 = 251,710.50 : x
  2. Step 2: Convert to fraction form
    114,570.75/251,710.50 = 251,710.50/x
  3. Step 3: Cross multiply
    114,570.75x = 251,710.50 × 251,710.50
  4. Step 4: Simplify right side
    114,570.75x = 63,358,175,810.25
  5. Step 5: Solve for x
    x = 63,358,175,810.25/114,570.75
  6. Step 6: Final answer
    x = 553,004.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.