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Finding the Third Proportional to 180,607 and 265,673

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Solution

The third proportional to 180,607 and 265,673 is: 390,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,607 : 265,673 = 265,673 : x
  2. Step 2: Convert to fraction form
    180,607/265,673 = 265,673/x
  3. Step 3: Cross multiply
    180,607x = 265,673 × 265,673
  4. Step 4: Simplify right side
    180,607x = 70,582,142,929
  5. Step 5: Solve for x
    x = 70,582,142,929/180,607
  6. Step 6: Final answer
    x = 390,805.13

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