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Finding the Third Proportional to 165,752.44 and 357,915.94

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Solution

The third proportional to 165,752.44 and 357,915.94 is: 772,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752.44 : 357,915.94 = 357,915.94 : x
  2. Step 2: Convert to fraction form
    165,752.44/357,915.94 = 357,915.94/x
  3. Step 3: Cross multiply
    165,752.44x = 357,915.94 × 357,915.94
  4. Step 4: Simplify right side
    165,752.44x = 128,103,818,316.50
  5. Step 5: Solve for x
    x = 128,103,818,316.50/165,752.44
  6. Step 6: Final answer
    x = 772,862.35

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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.