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Finding the Third Proportional to 302,017.50 and 362,707.50

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Solution

The third proportional to 302,017.50 and 362,707.50 is: 435,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017.50 : 362,707.50 = 362,707.50 : x
  2. Step 2: Convert to fraction form
    302,017.50/362,707.50 = 362,707.50/x
  3. Step 3: Cross multiply
    302,017.50x = 362,707.50 × 362,707.50
  4. Step 4: Simplify right side
    302,017.50x = 131,556,730,556.25
  5. Step 5: Solve for x
    x = 131,556,730,556.25/302,017.50
  6. Step 6: Final answer
    x = 435,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.