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Finding the Third Proportional to 145,666.50 and 317,811

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Solution

The third proportional to 145,666.50 and 317,811 is: 693,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,666.50 : 317,811 = 317,811 : x
  2. Step 2: Convert to fraction form
    145,666.50/317,811 = 317,811/x
  3. Step 3: Cross multiply
    145,666.50x = 317,811 × 317,811
  4. Step 4: Simplify right side
    145,666.50x = 101,003,831,721
  5. Step 5: Solve for x
    x = 101,003,831,721/145,666.50
  6. Step 6: Final answer
    x = 693,390.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.