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Finding the Third Proportional to 114,830.50 and 168,964

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Solution

The third proportional to 114,830.50 and 168,964 is: 248,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.50 : 168,964 = 168,964 : x
  2. Step 2: Convert to fraction form
    114,830.50/168,964 = 168,964/x
  3. Step 3: Cross multiply
    114,830.50x = 168,964 × 168,964
  4. Step 4: Simplify right side
    114,830.50x = 28,548,833,296
  5. Step 5: Solve for x
    x = 28,548,833,296/114,830.50
  6. Step 6: Final answer
    x = 248,617.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.