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Finding the Third Proportional to 158,640 and 245,528

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Solution

The third proportional to 158,640 and 245,528 is: 380,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,640 : 245,528 = 245,528 : x
  2. Step 2: Convert to fraction form
    158,640/245,528 = 245,528/x
  3. Step 3: Cross multiply
    158,640x = 245,528 × 245,528
  4. Step 4: Simplify right side
    158,640x = 60,283,998,784
  5. Step 5: Solve for x
    x = 60,283,998,784/158,640
  6. Step 6: Final answer
    x = 380,005.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.