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Finding the Third Proportional to 202,417.50 and 302,511

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Solution

The third proportional to 202,417.50 and 302,511 is: 452,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,417.50 : 302,511 = 302,511 : x
  2. Step 2: Convert to fraction form
    202,417.50/302,511 = 302,511/x
  3. Step 3: Cross multiply
    202,417.50x = 302,511 × 302,511
  4. Step 4: Simplify right side
    202,417.50x = 91,512,905,121
  5. Step 5: Solve for x
    x = 91,512,905,121/202,417.50
  6. Step 6: Final answer
    x = 452,099.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.