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Finding the Third Proportional to 142,152 and 306,445

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Solution

The third proportional to 142,152 and 306,445 is: 660,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152 : 306,445 = 306,445 : x
  2. Step 2: Convert to fraction form
    142,152/306,445 = 306,445/x
  3. Step 3: Cross multiply
    142,152x = 306,445 × 306,445
  4. Step 4: Simplify right side
    142,152x = 93,908,538,025
  5. Step 5: Solve for x
    x = 93,908,538,025/142,152
  6. Step 6: Final answer
    x = 660,620.59

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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.