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Finding the Third Proportional to 116,776.13 and 255,362.06

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Solution

The third proportional to 116,776.13 and 255,362.06 is: 558,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,776.13 : 255,362.06 = 255,362.06 : x
  2. Step 2: Convert to fraction form
    116,776.13/255,362.06 = 255,362.06/x
  3. Step 3: Cross multiply
    116,776.13x = 255,362.06 × 255,362.06
  4. Step 4: Simplify right side
    116,776.13x = 65,209,782,964.25
  5. Step 5: Solve for x
    x = 65,209,782,964.25/116,776.13
  6. Step 6: Final answer
    x = 558,417.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.