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Finding the Third Proportional to 148,434.75 and 302,053.50

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Solution

The third proportional to 148,434.75 and 302,053.50 is: 614,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,434.75 : 302,053.50 = 302,053.50 : x
  2. Step 2: Convert to fraction form
    148,434.75/302,053.50 = 302,053.50/x
  3. Step 3: Cross multiply
    148,434.75x = 302,053.50 × 302,053.50
  4. Step 4: Simplify right side
    148,434.75x = 91,236,316,862.25
  5. Step 5: Solve for x
    x = 91,236,316,862.25/148,434.75
  6. Step 6: Final answer
    x = 614,656.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.