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Finding the Third Proportional to 233,313.75 and 360,281.25

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Solution

The third proportional to 233,313.75 and 360,281.25 is: 556,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 360,281.25 = 360,281.25 : x
  2. Step 2: Convert to fraction form
    233,313.75/360,281.25 = 360,281.25/x
  3. Step 3: Cross multiply
    233,313.75x = 360,281.25 × 360,281.25
  4. Step 4: Simplify right side
    233,313.75x = 129,802,579,101.56
  5. Step 5: Solve for x
    x = 129,802,579,101.56/233,313.75
  6. Step 6: Final answer
    x = 556,343.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.