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Finding the Third Proportional to 233,365.88 and 360,412.50

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Solution

The third proportional to 233,365.88 and 360,412.50 is: 556,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,365.88 : 360,412.50 = 360,412.50 : x
  2. Step 2: Convert to fraction form
    233,365.88/360,412.50 = 360,412.50/x
  3. Step 3: Cross multiply
    233,365.88x = 360,412.50 × 360,412.50
  4. Step 4: Simplify right side
    233,365.88x = 129,897,170,156.25
  5. Step 5: Solve for x
    x = 129,897,170,156.25/233,365.88
  6. Step 6: Final answer
    x = 556,624.53

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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.