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Finding the Third Proportional to 245,312 and 365,376

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Solution

The third proportional to 245,312 and 365,376 is: 544,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,312 : 365,376 = 365,376 : x
  2. Step 2: Convert to fraction form
    245,312/365,376 = 365,376/x
  3. Step 3: Cross multiply
    245,312x = 365,376 × 365,376
  4. Step 4: Simplify right side
    245,312x = 133,499,621,376
  5. Step 5: Solve for x
    x = 133,499,621,376/245,312
  6. Step 6: Final answer
    x = 544,203.39

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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.