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Finding the Third Proportional to 144,592 and 216,037

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Solution

The third proportional to 144,592 and 216,037 is: 322,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,592 : 216,037 = 216,037 : x
  2. Step 2: Convert to fraction form
    144,592/216,037 = 216,037/x
  3. Step 3: Cross multiply
    144,592x = 216,037 × 216,037
  4. Step 4: Simplify right side
    144,592x = 46,671,985,369
  5. Step 5: Solve for x
    x = 46,671,985,369/144,592
  6. Step 6: Final answer
    x = 322,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.