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Finding the Third Proportional to 145,264 and 311,264

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Solution

The third proportional to 145,264 and 311,264 is: 666,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264 : 311,264 = 311,264 : x
  2. Step 2: Convert to fraction form
    145,264/311,264 = 311,264/x
  3. Step 3: Cross multiply
    145,264x = 311,264 × 311,264
  4. Step 4: Simplify right side
    145,264x = 96,885,277,696
  5. Step 5: Solve for x
    x = 96,885,277,696/145,264
  6. Step 6: Final answer
    x = 666,960.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.