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Finding the Third Proportional to 292,156.50 and 437,073

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Solution

The third proportional to 292,156.50 and 437,073 is: 653,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,156.50 : 437,073 = 437,073 : x
  2. Step 2: Convert to fraction form
    292,156.50/437,073 = 437,073/x
  3. Step 3: Cross multiply
    292,156.50x = 437,073 × 437,073
  4. Step 4: Simplify right side
    292,156.50x = 191,032,807,329
  5. Step 5: Solve for x
    x = 191,032,807,329/292,156.50
  6. Step 6: Final answer
    x = 653,871.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.