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Finding the Third Proportional to 256,110 and 370,004

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Solution

The third proportional to 256,110 and 370,004 is: 534,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,110 : 370,004 = 370,004 : x
  2. Step 2: Convert to fraction form
    256,110/370,004 = 370,004/x
  3. Step 3: Cross multiply
    256,110x = 370,004 × 370,004
  4. Step 4: Simplify right side
    256,110x = 136,902,960,016
  5. Step 5: Solve for x
    x = 136,902,960,016/256,110
  6. Step 6: Final answer
    x = 534,547.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.