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Finding the Third Proportional to 126,605 and 277,365

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Solution

The third proportional to 126,605 and 277,365 is: 607,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,605 : 277,365 = 277,365 : x
  2. Step 2: Convert to fraction form
    126,605/277,365 = 277,365/x
  3. Step 3: Cross multiply
    126,605x = 277,365 × 277,365
  4. Step 4: Simplify right side
    126,605x = 76,931,343,225
  5. Step 5: Solve for x
    x = 76,931,343,225/126,605
  6. Step 6: Final answer
    x = 607,648.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.