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Finding the Third Proportional to 178,160 and 392,032

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Solution

The third proportional to 178,160 and 392,032 is: 862,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,160 : 392,032 = 392,032 : x
  2. Step 2: Convert to fraction form
    178,160/392,032 = 392,032/x
  3. Step 3: Cross multiply
    178,160x = 392,032 × 392,032
  4. Step 4: Simplify right side
    178,160x = 153,689,089,024
  5. Step 5: Solve for x
    x = 153,689,089,024/178,160
  6. Step 6: Final answer
    x = 862,646.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.