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Finding the Third Proportional to 148,533.75 and 302,307.19

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Solution

The third proportional to 148,533.75 and 302,307.19 is: 615,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 302,307.19 = 302,307.19 : x
  2. Step 2: Convert to fraction form
    148,533.75/302,307.19 = 302,307.19/x
  3. Step 3: Cross multiply
    148,533.75x = 302,307.19 × 302,307.19
  4. Step 4: Simplify right side
    148,533.75x = 91,389,635,614.16
  5. Step 5: Solve for x
    x = 91,389,635,614.16/148,533.75
  6. Step 6: Final answer
    x = 615,278.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.