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Finding the Third Proportional to 145,541.25 and 233,688

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Solution

The third proportional to 145,541.25 and 233,688 is: 375,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,541.25 : 233,688 = 233,688 : x
  2. Step 2: Convert to fraction form
    145,541.25/233,688 = 233,688/x
  3. Step 3: Cross multiply
    145,541.25x = 233,688 × 233,688
  4. Step 4: Simplify right side
    145,541.25x = 54,610,081,344
  5. Step 5: Solve for x
    x = 54,610,081,344/145,541.25
  6. Step 6: Final answer
    x = 375,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.