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Finding the Third Proportional to 101,313 and 234,541.13

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Solution

The third proportional to 101,313 and 234,541.13 is: 542,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313 : 234,541.13 = 234,541.13 : x
  2. Step 2: Convert to fraction form
    101,313/234,541.13 = 234,541.13/x
  3. Step 3: Cross multiply
    101,313x = 234,541.13 × 234,541.13
  4. Step 4: Simplify right side
    101,313x = 55,009,539,316.27
  5. Step 5: Solve for x
    x = 55,009,539,316.27/101,313
  6. Step 6: Final answer
    x = 542,966.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.