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Finding the Third Proportional to 125,678.25 and 269,346.94

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Solution

The third proportional to 125,678.25 and 269,346.94 is: 577,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678.25 : 269,346.94 = 269,346.94 : x
  2. Step 2: Convert to fraction form
    125,678.25/269,346.94 = 269,346.94/x
  3. Step 3: Cross multiply
    125,678.25x = 269,346.94 × 269,346.94
  4. Step 4: Simplify right side
    125,678.25x = 72,547,772,740.63
  5. Step 5: Solve for x
    x = 72,547,772,740.63/125,678.25
  6. Step 6: Final answer
    x = 577,250.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.