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Finding the Third Proportional to 180,432 and 390,024

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Solution

The third proportional to 180,432 and 390,024 is: 843,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,432 : 390,024 = 390,024 : x
  2. Step 2: Convert to fraction form
    180,432/390,024 = 390,024/x
  3. Step 3: Cross multiply
    180,432x = 390,024 × 390,024
  4. Step 4: Simplify right side
    180,432x = 152,118,720,576
  5. Step 5: Solve for x
    x = 152,118,720,576/180,432
  6. Step 6: Final answer
    x = 843,080.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.