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Finding the Third Proportional to 237,465 and 334,410.75

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Solution

The third proportional to 237,465 and 334,410.75 is: 470,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,465 : 334,410.75 = 334,410.75 : x
  2. Step 2: Convert to fraction form
    237,465/334,410.75 = 334,410.75/x
  3. Step 3: Cross multiply
    237,465x = 334,410.75 × 334,410.75
  4. Step 4: Simplify right side
    237,465x = 111,830,549,715.56
  5. Step 5: Solve for x
    x = 111,830,549,715.56/237,465
  6. Step 6: Final answer
    x = 470,934.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.