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Finding the Third Proportional to 128,130 and 200,419.50

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Solution

The third proportional to 128,130 and 200,419.50 is: 313,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,130 : 200,419.50 = 200,419.50 : x
  2. Step 2: Convert to fraction form
    128,130/200,419.50 = 200,419.50/x
  3. Step 3: Cross multiply
    128,130x = 200,419.50 × 200,419.50
  4. Step 4: Simplify right side
    128,130x = 40,167,975,980.25
  5. Step 5: Solve for x
    x = 40,167,975,980.25/128,130
  6. Step 6: Final answer
    x = 313,493.92

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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.