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Finding the Third Proportional to 153,547.17 and 332,244.84

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Solution

The third proportional to 153,547.17 and 332,244.84 is: 718,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,547.17 : 332,244.84 = 332,244.84 : x
  2. Step 2: Convert to fraction form
    153,547.17/332,244.84 = 332,244.84/x
  3. Step 3: Cross multiply
    153,547.17x = 332,244.84 × 332,244.84
  4. Step 4: Simplify right side
    153,547.17x = 110,386,636,198.46
  5. Step 5: Solve for x
    x = 110,386,636,198.46/153,547.17
  6. Step 6: Final answer
    x = 718,910.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.