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Finding the Third Proportional to 142,516 and 302,521.50

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Solution

The third proportional to 142,516 and 302,521.50 is: 642,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,516 : 302,521.50 = 302,521.50 : x
  2. Step 2: Convert to fraction form
    142,516/302,521.50 = 302,521.50/x
  3. Step 3: Cross multiply
    142,516x = 302,521.50 × 302,521.50
  4. Step 4: Simplify right side
    142,516x = 91,519,257,962.25
  5. Step 5: Solve for x
    x = 91,519,257,962.25/142,516
  6. Step 6: Final answer
    x = 642,168.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.