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Finding the Third Proportional to 180,907.50 and 265,944

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Solution

The third proportional to 180,907.50 and 265,944 is: 390,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907.50 : 265,944 = 265,944 : x
  2. Step 2: Convert to fraction form
    180,907.50/265,944 = 265,944/x
  3. Step 3: Cross multiply
    180,907.50x = 265,944 × 265,944
  4. Step 4: Simplify right side
    180,907.50x = 70,726,211,136
  5. Step 5: Solve for x
    x = 70,726,211,136/180,907.50
  6. Step 6: Final answer
    x = 390,952.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.