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Finding the Third Proportional to 203,656.50 and 310,756.50

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Solution

The third proportional to 203,656.50 and 310,756.50 is: 474,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,656.50 : 310,756.50 = 310,756.50 : x
  2. Step 2: Convert to fraction form
    203,656.50/310,756.50 = 310,756.50/x
  3. Step 3: Cross multiply
    203,656.50x = 310,756.50 × 310,756.50
  4. Step 4: Simplify right side
    203,656.50x = 96,569,602,292.25
  5. Step 5: Solve for x
    x = 96,569,602,292.25/203,656.50
  6. Step 6: Final answer
    x = 474,178.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.