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Finding the Third Proportional to 245,358 and 369,267

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Solution

The third proportional to 245,358 and 369,267 is: 555,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,358 : 369,267 = 369,267 : x
  2. Step 2: Convert to fraction form
    245,358/369,267 = 369,267/x
  3. Step 3: Cross multiply
    245,358x = 369,267 × 369,267
  4. Step 4: Simplify right side
    245,358x = 136,358,117,289
  5. Step 5: Solve for x
    x = 136,358,117,289/245,358
  6. Step 6: Final answer
    x = 555,751.67

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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.