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Finding the Third Proportional to 141,480 and 305,064

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Solution

The third proportional to 141,480 and 305,064 is: 657,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,480 : 305,064 = 305,064 : x
  2. Step 2: Convert to fraction form
    141,480/305,064 = 305,064/x
  3. Step 3: Cross multiply
    141,480x = 305,064 × 305,064
  4. Step 4: Simplify right side
    141,480x = 93,064,044,096
  5. Step 5: Solve for x
    x = 93,064,044,096/141,480
  6. Step 6: Final answer
    x = 657,789.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.