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Finding the Third Proportional to 183,070 and 427,705

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Solution

The third proportional to 183,070 and 427,705 is: 999,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,070 : 427,705 = 427,705 : x
  2. Step 2: Convert to fraction form
    183,070/427,705 = 427,705/x
  3. Step 3: Cross multiply
    183,070x = 427,705 × 427,705
  4. Step 4: Simplify right side
    183,070x = 182,931,567,025
  5. Step 5: Solve for x
    x = 182,931,567,025/183,070
  6. Step 6: Final answer
    x = 999,243.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.