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Finding the Third Proportional to 153,948.75 and 245,152.13

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Solution

The third proportional to 153,948.75 and 245,152.13 is: 390,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,948.75 : 245,152.13 = 245,152.13 : x
  2. Step 2: Convert to fraction form
    153,948.75/245,152.13 = 245,152.13/x
  3. Step 3: Cross multiply
    153,948.75x = 245,152.13 × 245,152.13
  4. Step 4: Simplify right side
    153,948.75x = 60,099,564,392.02
  5. Step 5: Solve for x
    x = 60,099,564,392.02/153,948.75
  6. Step 6: Final answer
    x = 390,386.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.