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Finding the Third Proportional to 178,034 and 277,263

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Solution

The third proportional to 178,034 and 277,263 is: 431,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,034 : 277,263 = 277,263 : x
  2. Step 2: Convert to fraction form
    178,034/277,263 = 277,263/x
  3. Step 3: Cross multiply
    178,034x = 277,263 × 277,263
  4. Step 4: Simplify right side
    178,034x = 76,874,771,169
  5. Step 5: Solve for x
    x = 76,874,771,169/178,034
  6. Step 6: Final answer
    x = 431,798.26

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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.