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Finding the Third Proportional to 160,590 and 349,792.50

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Solution

The third proportional to 160,590 and 349,792.50 is: 761,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,590 : 349,792.50 = 349,792.50 : x
  2. Step 2: Convert to fraction form
    160,590/349,792.50 = 349,792.50/x
  3. Step 3: Cross multiply
    160,590x = 349,792.50 × 349,792.50
  4. Step 4: Simplify right side
    160,590x = 122,354,793,056.25
  5. Step 5: Solve for x
    x = 122,354,793,056.25/160,590
  6. Step 6: Final answer
    x = 761,907.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.