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Finding the Third Proportional to 245,358 and 369,264

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Solution

The third proportional to 245,358 and 369,264 is: 555,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,358 : 369,264 = 369,264 : x
  2. Step 2: Convert to fraction form
    245,358/369,264 = 369,264/x
  3. Step 3: Cross multiply
    245,358x = 369,264 × 369,264
  4. Step 4: Simplify right side
    245,358x = 136,355,901,696
  5. Step 5: Solve for x
    x = 136,355,901,696/245,358
  6. Step 6: Final answer
    x = 555,742.64

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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.