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Finding the Third Proportional to 146,076 and 310,986

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Solution

The third proportional to 146,076 and 310,986 is: 662,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,076 : 310,986 = 310,986 : x
  2. Step 2: Convert to fraction form
    146,076/310,986 = 310,986/x
  3. Step 3: Cross multiply
    146,076x = 310,986 × 310,986
  4. Step 4: Simplify right side
    146,076x = 96,712,292,196
  5. Step 5: Solve for x
    x = 96,712,292,196/146,076
  6. Step 6: Final answer
    x = 662,068.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.