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Finding the Third Proportional to 235,440 and 302,302.50

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Solution

The third proportional to 235,440 and 302,302.50 is: 388,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,440 : 302,302.50 = 302,302.50 : x
  2. Step 2: Convert to fraction form
    235,440/302,302.50 = 302,302.50/x
  3. Step 3: Cross multiply
    235,440x = 302,302.50 × 302,302.50
  4. Step 4: Simplify right side
    235,440x = 91,386,801,506.25
  5. Step 5: Solve for x
    x = 91,386,801,506.25/235,440
  6. Step 6: Final answer
    x = 388,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.