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Finding the Third Proportional to 281,160 and 430,092

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Solution

The third proportional to 281,160 and 430,092 is: 657,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,160 : 430,092 = 430,092 : x
  2. Step 2: Convert to fraction form
    281,160/430,092 = 430,092/x
  3. Step 3: Cross multiply
    281,160x = 430,092 × 430,092
  4. Step 4: Simplify right side
    281,160x = 184,979,128,464
  5. Step 5: Solve for x
    x = 184,979,128,464/281,160
  6. Step 6: Final answer
    x = 657,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.