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Finding the Third Proportional to 191,986.50 and 426,585

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Solution

The third proportional to 191,986.50 and 426,585 is: 947,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,986.50 : 426,585 = 426,585 : x
  2. Step 2: Convert to fraction form
    191,986.50/426,585 = 426,585/x
  3. Step 3: Cross multiply
    191,986.50x = 426,585 × 426,585
  4. Step 4: Simplify right side
    191,986.50x = 181,974,762,225
  5. Step 5: Solve for x
    x = 181,974,762,225/191,986.50
  6. Step 6: Final answer
    x = 947,851.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.