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Finding the Third Proportional to 151,175 and 314,784

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Solution

The third proportional to 151,175 and 314,784 is: 655,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,175 : 314,784 = 314,784 : x
  2. Step 2: Convert to fraction form
    151,175/314,784 = 314,784/x
  3. Step 3: Cross multiply
    151,175x = 314,784 × 314,784
  4. Step 4: Simplify right side
    151,175x = 99,088,966,656
  5. Step 5: Solve for x
    x = 99,088,966,656/151,175
  6. Step 6: Final answer
    x = 655,458.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.