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Finding the Third Proportional to 178,323 and 277,006.50

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Solution

The third proportional to 178,323 and 277,006.50 is: 430,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,323 : 277,006.50 = 277,006.50 : x
  2. Step 2: Convert to fraction form
    178,323/277,006.50 = 277,006.50/x
  3. Step 3: Cross multiply
    178,323x = 277,006.50 × 277,006.50
  4. Step 4: Simplify right side
    178,323x = 76,732,601,042.25
  5. Step 5: Solve for x
    x = 76,732,601,042.25/178,323
  6. Step 6: Final answer
    x = 430,301.20

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