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Finding the Third Proportional to 240,465 and 375,255

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Solution

The third proportional to 240,465 and 375,255 is: 585,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,465 : 375,255 = 375,255 : x
  2. Step 2: Convert to fraction form
    240,465/375,255 = 375,255/x
  3. Step 3: Cross multiply
    240,465x = 375,255 × 375,255
  4. Step 4: Simplify right side
    240,465x = 140,816,315,025
  5. Step 5: Solve for x
    x = 140,816,315,025/240,465
  6. Step 6: Final answer
    x = 585,600.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.