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Finding the Third Proportional to 116,964 and 247,880.25

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Solution

The third proportional to 116,964 and 247,880.25 is: 525,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964 : 247,880.25 = 247,880.25 : x
  2. Step 2: Convert to fraction form
    116,964/247,880.25 = 247,880.25/x
  3. Step 3: Cross multiply
    116,964x = 247,880.25 × 247,880.25
  4. Step 4: Simplify right side
    116,964x = 61,444,618,340.06
  5. Step 5: Solve for x
    x = 61,444,618,340.06/116,964
  6. Step 6: Final answer
    x = 525,329.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.