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Finding the Third Proportional to 160,803 and 236,386.50

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Solution

The third proportional to 160,803 and 236,386.50 is: 347,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,803 : 236,386.50 = 236,386.50 : x
  2. Step 2: Convert to fraction form
    160,803/236,386.50 = 236,386.50/x
  3. Step 3: Cross multiply
    160,803x = 236,386.50 × 236,386.50
  4. Step 4: Simplify right side
    160,803x = 55,878,577,382.25
  5. Step 5: Solve for x
    x = 55,878,577,382.25/160,803
  6. Step 6: Final answer
    x = 347,497.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.