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Finding the Third Proportional to 145,858 and 186,360

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Solution

The third proportional to 145,858 and 186,360 is: 238,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858 : 186,360 = 186,360 : x
  2. Step 2: Convert to fraction form
    145,858/186,360 = 186,360/x
  3. Step 3: Cross multiply
    145,858x = 186,360 × 186,360
  4. Step 4: Simplify right side
    145,858x = 34,730,049,600
  5. Step 5: Solve for x
    x = 34,730,049,600/145,858
  6. Step 6: Final answer
    x = 238,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.