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Finding the Third Proportional to 191,929.50 and 290,536.88

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Solution

The third proportional to 191,929.50 and 290,536.88 is: 439,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,929.50 : 290,536.88 = 290,536.88 : x
  2. Step 2: Convert to fraction form
    191,929.50/290,536.88 = 290,536.88/x
  3. Step 3: Cross multiply
    191,929.50x = 290,536.88 × 290,536.88
  4. Step 4: Simplify right side
    191,929.50x = 84,411,675,734.77
  5. Step 5: Solve for x
    x = 84,411,675,734.77/191,929.50
  6. Step 6: Final answer
    x = 439,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.