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Finding the Third Proportional to 216,822.50 and 333,688

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Solution

The third proportional to 216,822.50 and 333,688 is: 513,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,822.50 : 333,688 = 333,688 : x
  2. Step 2: Convert to fraction form
    216,822.50/333,688 = 333,688/x
  3. Step 3: Cross multiply
    216,822.50x = 333,688 × 333,688
  4. Step 4: Simplify right side
    216,822.50x = 111,347,681,344
  5. Step 5: Solve for x
    x = 111,347,681,344/216,822.50
  6. Step 6: Final answer
    x = 513,543.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.