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Finding the Third Proportional to 191,497.50 and 411,426

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Solution

The third proportional to 191,497.50 and 411,426 is: 883,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,497.50 : 411,426 = 411,426 : x
  2. Step 2: Convert to fraction form
    191,497.50/411,426 = 411,426/x
  3. Step 3: Cross multiply
    191,497.50x = 411,426 × 411,426
  4. Step 4: Simplify right side
    191,497.50x = 169,271,353,476
  5. Step 5: Solve for x
    x = 169,271,353,476/191,497.50
  6. Step 6: Final answer
    x = 883,935.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.