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Finding the Third Proportional to 164,358 and 358,299

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Solution

The third proportional to 164,358 and 358,299 is: 781,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,358 : 358,299 = 358,299 : x
  2. Step 2: Convert to fraction form
    164,358/358,299 = 358,299/x
  3. Step 3: Cross multiply
    164,358x = 358,299 × 358,299
  4. Step 4: Simplify right side
    164,358x = 128,378,173,401
  5. Step 5: Solve for x
    x = 128,378,173,401/164,358
  6. Step 6: Final answer
    x = 781,088.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.