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Finding the Third Proportional to 146,101 and 314,395

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Solution

The third proportional to 146,101 and 314,395 is: 676,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,101 : 314,395 = 314,395 : x
  2. Step 2: Convert to fraction form
    146,101/314,395 = 314,395/x
  3. Step 3: Cross multiply
    146,101x = 314,395 × 314,395
  4. Step 4: Simplify right side
    146,101x = 98,844,216,025
  5. Step 5: Solve for x
    x = 98,844,216,025/146,101
  6. Step 6: Final answer
    x = 676,547.16

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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.