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Finding the Third Proportional to 178,069.50 and 277,316.25

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Solution

The third proportional to 178,069.50 and 277,316.25 is: 431,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,069.50 : 277,316.25 = 277,316.25 : x
  2. Step 2: Convert to fraction form
    178,069.50/277,316.25 = 277,316.25/x
  3. Step 3: Cross multiply
    178,069.50x = 277,316.25 × 277,316.25
  4. Step 4: Simplify right side
    178,069.50x = 76,904,302,514.06
  5. Step 5: Solve for x
    x = 76,904,302,514.06/178,069.50
  6. Step 6: Final answer
    x = 431,878.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.