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Finding the Third Proportional to 233,313.75 and 348,356.25

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Solution

The third proportional to 233,313.75 and 348,356.25 is: 520,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 348,356.25 = 348,356.25 : x
  2. Step 2: Convert to fraction form
    233,313.75/348,356.25 = 348,356.25/x
  3. Step 3: Cross multiply
    233,313.75x = 348,356.25 × 348,356.25
  4. Step 4: Simplify right side
    233,313.75x = 121,352,076,914.06
  5. Step 5: Solve for x
    x = 121,352,076,914.06/233,313.75
  6. Step 6: Final answer
    x = 520,123.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.