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Finding the Third Proportional to 164,320.50 and 336,429

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Solution

The third proportional to 164,320.50 and 336,429 is: 688,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,320.50 : 336,429 = 336,429 : x
  2. Step 2: Convert to fraction form
    164,320.50/336,429 = 336,429/x
  3. Step 3: Cross multiply
    164,320.50x = 336,429 × 336,429
  4. Step 4: Simplify right side
    164,320.50x = 113,184,472,041
  5. Step 5: Solve for x
    x = 113,184,472,041/164,320.50
  6. Step 6: Final answer
    x = 688,803.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.