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Finding the Third Proportional to 144,824 and 202,323

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Solution

The third proportional to 144,824 and 202,323 is: 282,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,824 : 202,323 = 202,323 : x
  2. Step 2: Convert to fraction form
    144,824/202,323 = 202,323/x
  3. Step 3: Cross multiply
    144,824x = 202,323 × 202,323
  4. Step 4: Simplify right side
    144,824x = 40,934,596,329
  5. Step 5: Solve for x
    x = 40,934,596,329/144,824
  6. Step 6: Final answer
    x = 282,650.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.