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Finding the Third Proportional to 142,020 and 306,174

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Solution

The third proportional to 142,020 and 306,174 is: 660,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,020 : 306,174 = 306,174 : x
  2. Step 2: Convert to fraction form
    142,020/306,174 = 306,174/x
  3. Step 3: Cross multiply
    142,020x = 306,174 × 306,174
  4. Step 4: Simplify right side
    142,020x = 93,742,518,276
  5. Step 5: Solve for x
    x = 93,742,518,276/142,020
  6. Step 6: Final answer
    x = 660,065.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.