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Finding the Third Proportional to 202,500 and 302,076

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Solution

The third proportional to 202,500 and 302,076 is: 450,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,500 : 302,076 = 302,076 : x
  2. Step 2: Convert to fraction form
    202,500/302,076 = 302,076/x
  3. Step 3: Cross multiply
    202,500x = 302,076 × 302,076
  4. Step 4: Simplify right side
    202,500x = 91,249,909,776
  5. Step 5: Solve for x
    x = 91,249,909,776/202,500
  6. Step 6: Final answer
    x = 450,616.84

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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.