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Finding the Third Proportional to 160,927 and 240,310

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Solution

The third proportional to 160,927 and 240,310 is: 358,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,927 : 240,310 = 240,310 : x
  2. Step 2: Convert to fraction form
    160,927/240,310 = 240,310/x
  3. Step 3: Cross multiply
    160,927x = 240,310 × 240,310
  4. Step 4: Simplify right side
    160,927x = 57,748,896,100
  5. Step 5: Solve for x
    x = 57,748,896,100/160,927
  6. Step 6: Final answer
    x = 358,851.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.