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Finding the Third Proportional to 144,070 and 334,933

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Solution

The third proportional to 144,070 and 334,933 is: 778,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,070 : 334,933 = 334,933 : x
  2. Step 2: Convert to fraction form
    144,070/334,933 = 334,933/x
  3. Step 3: Cross multiply
    144,070x = 334,933 × 334,933
  4. Step 4: Simplify right side
    144,070x = 112,180,114,489
  5. Step 5: Solve for x
    x = 112,180,114,489/144,070
  6. Step 6: Final answer
    x = 778,650.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.