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Finding the Third Proportional to 116,632.13 and 314,186.63

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Solution

The third proportional to 116,632.13 and 314,186.63 is: 846,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,632.13 : 314,186.63 = 314,186.63 : x
  2. Step 2: Convert to fraction form
    116,632.13/314,186.63 = 314,186.63/x
  3. Step 3: Cross multiply
    116,632.13x = 314,186.63 × 314,186.63
  4. Step 4: Simplify right side
    116,632.13x = 98,713,235,328.89
  5. Step 5: Solve for x
    x = 98,713,235,328.89/116,632.13
  6. Step 6: Final answer
    x = 846,364.03

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.