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Finding the Third Proportional to 191,354.91 and 415,312.31

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Solution

The third proportional to 191,354.91 and 415,312.31 is: 901,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,354.91 : 415,312.31 = 415,312.31 : x
  2. Step 2: Convert to fraction form
    191,354.91/415,312.31 = 415,312.31/x
  3. Step 3: Cross multiply
    191,354.91x = 415,312.31 × 415,312.31
  4. Step 4: Simplify right side
    191,354.91x = 172,484,316,914.10
  5. Step 5: Solve for x
    x = 172,484,316,914.10/191,354.91
  6. Step 6: Final answer
    x = 901,384.35

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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.