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Finding the Third Proportional to 152,064 and 325,440

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Solution

The third proportional to 152,064 and 325,440 is: 696,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,064 : 325,440 = 325,440 : x
  2. Step 2: Convert to fraction form
    152,064/325,440 = 325,440/x
  3. Step 3: Cross multiply
    152,064x = 325,440 × 325,440
  4. Step 4: Simplify right side
    152,064x = 105,911,193,600
  5. Step 5: Solve for x
    x = 105,911,193,600/152,064
  6. Step 6: Final answer
    x = 696,490.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.