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Finding the Third Proportional to 147,894 and 317,955

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Solution

The third proportional to 147,894 and 317,955 is: 683,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,894 : 317,955 = 317,955 : x
  2. Step 2: Convert to fraction form
    147,894/317,955 = 317,955/x
  3. Step 3: Cross multiply
    147,894x = 317,955 × 317,955
  4. Step 4: Simplify right side
    147,894x = 101,095,382,025
  5. Step 5: Solve for x
    x = 101,095,382,025/147,894
  6. Step 6: Final answer
    x = 683,566.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.