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Finding the Third Proportional to 229,903 and 341,572

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Solution

The third proportional to 229,903 and 341,572 is: 507,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,903 : 341,572 = 341,572 : x
  2. Step 2: Convert to fraction form
    229,903/341,572 = 341,572/x
  3. Step 3: Cross multiply
    229,903x = 341,572 × 341,572
  4. Step 4: Simplify right side
    229,903x = 116,671,431,184
  5. Step 5: Solve for x
    x = 116,671,431,184/229,903
  6. Step 6: Final answer
    x = 507,481.12

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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.