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Finding the Third Proportional to 183,968 and 403,264

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Solution

The third proportional to 183,968 and 403,264 is: 883,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,968 : 403,264 = 403,264 : x
  2. Step 2: Convert to fraction form
    183,968/403,264 = 403,264/x
  3. Step 3: Cross multiply
    183,968x = 403,264 × 403,264
  4. Step 4: Simplify right side
    183,968x = 162,621,853,696
  5. Step 5: Solve for x
    x = 162,621,853,696/183,968
  6. Step 6: Final answer
    x = 883,968.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.