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Finding the Third Proportional to 183,152 and 283,440

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Solution

The third proportional to 183,152 and 283,440 is: 438,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,152 : 283,440 = 283,440 : x
  2. Step 2: Convert to fraction form
    183,152/283,440 = 283,440/x
  3. Step 3: Cross multiply
    183,152x = 283,440 × 283,440
  4. Step 4: Simplify right side
    183,152x = 80,338,233,600
  5. Step 5: Solve for x
    x = 80,338,233,600/183,152
  6. Step 6: Final answer
    x = 438,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.