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Finding the Third Proportional to 174,810.50 and 382,841

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Solution

The third proportional to 174,810.50 and 382,841 is: 838,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,810.50 : 382,841 = 382,841 : x
  2. Step 2: Convert to fraction form
    174,810.50/382,841 = 382,841/x
  3. Step 3: Cross multiply
    174,810.50x = 382,841 × 382,841
  4. Step 4: Simplify right side
    174,810.50x = 146,567,231,281
  5. Step 5: Solve for x
    x = 146,567,231,281/174,810.50
  6. Step 6: Final answer
    x = 838,434.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.