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Finding the Third Proportional to 263,681.81 and 373,352.06

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Solution

The third proportional to 263,681.81 and 373,352.06 is: 528,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,681.81 : 373,352.06 = 373,352.06 : x
  2. Step 2: Convert to fraction form
    263,681.81/373,352.06 = 373,352.06/x
  3. Step 3: Cross multiply
    263,681.81x = 373,352.06 × 373,352.06
  4. Step 4: Simplify right side
    263,681.81x = 139,391,762,573.00
  5. Step 5: Solve for x
    x = 139,391,762,573.00/263,681.81
  6. Step 6: Final answer
    x = 528,636.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.