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Finding the Third Proportional to 174,835 and 364,430

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Solution

The third proportional to 174,835 and 364,430 is: 759,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,835 : 364,430 = 364,430 : x
  2. Step 2: Convert to fraction form
    174,835/364,430 = 364,430/x
  3. Step 3: Cross multiply
    174,835x = 364,430 × 364,430
  4. Step 4: Simplify right side
    174,835x = 132,809,224,900
  5. Step 5: Solve for x
    x = 132,809,224,900/174,835
  6. Step 6: Final answer
    x = 759,626.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.