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Finding the Third Proportional to 175,131 and 277,358

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Solution

The third proportional to 175,131 and 277,358 is: 439,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,131 : 277,358 = 277,358 : x
  2. Step 2: Convert to fraction form
    175,131/277,358 = 277,358/x
  3. Step 3: Cross multiply
    175,131x = 277,358 × 277,358
  4. Step 4: Simplify right side
    175,131x = 76,927,460,164
  5. Step 5: Solve for x
    x = 76,927,460,164/175,131
  6. Step 6: Final answer
    x = 439,256.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.