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Finding the Third Proportional to 183,528 and 403,155

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Solution

The third proportional to 183,528 and 403,155 is: 885,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,528 : 403,155 = 403,155 : x
  2. Step 2: Convert to fraction form
    183,528/403,155 = 403,155/x
  3. Step 3: Cross multiply
    183,528x = 403,155 × 403,155
  4. Step 4: Simplify right side
    183,528x = 162,533,954,025
  5. Step 5: Solve for x
    x = 162,533,954,025/183,528
  6. Step 6: Final answer
    x = 885,608.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.