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Finding the Third Proportional to 245,358 and 369,265

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Solution

The third proportional to 245,358 and 369,265 is: 555,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,358 : 369,265 = 369,265 : x
  2. Step 2: Convert to fraction form
    245,358/369,265 = 369,265/x
  3. Step 3: Cross multiply
    245,358x = 369,265 × 369,265
  4. Step 4: Simplify right side
    245,358x = 136,356,640,225
  5. Step 5: Solve for x
    x = 136,356,640,225/245,358
  6. Step 6: Final answer
    x = 555,745.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.