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Finding the Third Proportional to 142,352 and 308,080

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Solution

The third proportional to 142,352 and 308,080 is: 666,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352 : 308,080 = 308,080 : x
  2. Step 2: Convert to fraction form
    142,352/308,080 = 308,080/x
  3. Step 3: Cross multiply
    142,352x = 308,080 × 308,080
  4. Step 4: Simplify right side
    142,352x = 94,913,286,400
  5. Step 5: Solve for x
    x = 94,913,286,400/142,352
  6. Step 6: Final answer
    x = 666,750.64

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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.