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Finding the Third Proportional to 153,547 and 332,242

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Solution

The third proportional to 153,547 and 332,242 is: 718,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,547 : 332,242 = 332,242 : x
  2. Step 2: Convert to fraction form
    153,547/332,242 = 332,242/x
  3. Step 3: Cross multiply
    153,547x = 332,242 × 332,242
  4. Step 4: Simplify right side
    153,547x = 110,384,746,564
  5. Step 5: Solve for x
    x = 110,384,746,564/153,547
  6. Step 6: Final answer
    x = 718,898.75

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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.