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Finding the Third Proportional to 174,911.06 and 323,541

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Solution

The third proportional to 174,911.06 and 323,541 is: 598,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911.06 : 323,541 = 323,541 : x
  2. Step 2: Convert to fraction form
    174,911.06/323,541 = 323,541/x
  3. Step 3: Cross multiply
    174,911.06x = 323,541 × 323,541
  4. Step 4: Simplify right side
    174,911.06x = 104,678,778,681
  5. Step 5: Solve for x
    x = 104,678,778,681/174,911.06
  6. Step 6: Final answer
    x = 598,468.60

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.