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Finding the Third Proportional to 160,044.50 and 349,618

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Solution

The third proportional to 160,044.50 and 349,618 is: 763,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,044.50 : 349,618 = 349,618 : x
  2. Step 2: Convert to fraction form
    160,044.50/349,618 = 349,618/x
  3. Step 3: Cross multiply
    160,044.50x = 349,618 × 349,618
  4. Step 4: Simplify right side
    160,044.50x = 122,232,745,924
  5. Step 5: Solve for x
    x = 122,232,745,924/160,044.50
  6. Step 6: Final answer
    x = 763,742.25

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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.