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Finding the Third Proportional to 127,256.06 and 266,905.13

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Solution

The third proportional to 127,256.06 and 266,905.13 is: 559,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,256.06 : 266,905.13 = 266,905.13 : x
  2. Step 2: Convert to fraction form
    127,256.06/266,905.13 = 266,905.13/x
  3. Step 3: Cross multiply
    127,256.06x = 266,905.13 × 266,905.13
  4. Step 4: Simplify right side
    127,256.06x = 71,238,345,751.27
  5. Step 5: Solve for x
    x = 71,238,345,751.27/127,256.06
  6. Step 6: Final answer
    x = 559,803.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.