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Finding the Third Proportional to 145,152 and 321,408

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Solution

The third proportional to 145,152 and 321,408 is: 711,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152 : 321,408 = 321,408 : x
  2. Step 2: Convert to fraction form
    145,152/321,408 = 321,408/x
  3. Step 3: Cross multiply
    145,152x = 321,408 × 321,408
  4. Step 4: Simplify right side
    145,152x = 103,303,102,464
  5. Step 5: Solve for x
    x = 103,303,102,464/145,152
  6. Step 6: Final answer
    x = 711,689.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.