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Finding the Third Proportional to 153,922 and 245,888

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Solution

The third proportional to 153,922 and 245,888 is: 392,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,922 : 245,888 = 245,888 : x
  2. Step 2: Convert to fraction form
    153,922/245,888 = 245,888/x
  3. Step 3: Cross multiply
    153,922x = 245,888 × 245,888
  4. Step 4: Simplify right side
    153,922x = 60,460,908,544
  5. Step 5: Solve for x
    x = 60,460,908,544/153,922
  6. Step 6: Final answer
    x = 392,802.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.