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Finding the Third Proportional to 191,389.50 and 415,953

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Solution

The third proportional to 191,389.50 and 415,953 is: 904,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,389.50 : 415,953 = 415,953 : x
  2. Step 2: Convert to fraction form
    191,389.50/415,953 = 415,953/x
  3. Step 3: Cross multiply
    191,389.50x = 415,953 × 415,953
  4. Step 4: Simplify right side
    191,389.50x = 173,016,898,209
  5. Step 5: Solve for x
    x = 173,016,898,209/191,389.50
  6. Step 6: Final answer
    x = 904,004.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.