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Finding the Third Proportional to 180,907 and 265,943

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Solution

The third proportional to 180,907 and 265,943 is: 390,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907 : 265,943 = 265,943 : x
  2. Step 2: Convert to fraction form
    180,907/265,943 = 265,943/x
  3. Step 3: Cross multiply
    180,907x = 265,943 × 265,943
  4. Step 4: Simplify right side
    180,907x = 70,725,679,249
  5. Step 5: Solve for x
    x = 70,725,679,249/180,907
  6. Step 6: Final answer
    x = 390,950.48

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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.