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Finding the Third Proportional to 233,360 and 360,345

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Solution

The third proportional to 233,360 and 360,345 is: 556,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,360 : 360,345 = 360,345 : x
  2. Step 2: Convert to fraction form
    233,360/360,345 = 360,345/x
  3. Step 3: Cross multiply
    233,360x = 360,345 × 360,345
  4. Step 4: Simplify right side
    233,360x = 129,848,519,025
  5. Step 5: Solve for x
    x = 129,848,519,025/233,360
  6. Step 6: Final answer
    x = 556,430.06

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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.