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Finding the Third Proportional to 183,168 and 390,532

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Solution

The third proportional to 183,168 and 390,532 is: 832,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,168 : 390,532 = 390,532 : x
  2. Step 2: Convert to fraction form
    183,168/390,532 = 390,532/x
  3. Step 3: Cross multiply
    183,168x = 390,532 × 390,532
  4. Step 4: Simplify right side
    183,168x = 152,515,243,024
  5. Step 5: Solve for x
    x = 152,515,243,024/183,168
  6. Step 6: Final answer
    x = 832,652.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.