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Finding the Third Proportional to 114,303.66 and 178,000.03

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Solution

The third proportional to 114,303.66 and 178,000.03 is: 277,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,303.66 : 178,000.03 = 178,000.03 : x
  2. Step 2: Convert to fraction form
    114,303.66/178,000.03 = 178,000.03/x
  3. Step 3: Cross multiply
    114,303.66x = 178,000.03 × 178,000.03
  4. Step 4: Simplify right side
    114,303.66x = 31,684,011,125.00
  5. Step 5: Solve for x
    x = 31,684,011,125.00/114,303.66
  6. Step 6: Final answer
    x = 277,191.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.