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Finding the Third Proportional to 134,834.63 and 290,703.94

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Solution

The third proportional to 134,834.63 and 290,703.94 is: 626,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,834.63 : 290,703.94 = 290,703.94 : x
  2. Step 2: Convert to fraction form
    134,834.63/290,703.94 = 290,703.94/x
  3. Step 3: Cross multiply
    134,834.63x = 290,703.94 × 290,703.94
  4. Step 4: Simplify right side
    134,834.63x = 84,508,779,278.00
  5. Step 5: Solve for x
    x = 84,508,779,278.00/134,834.63
  6. Step 6: Final answer
    x = 626,758.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.