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Finding the Third Proportional to 235,615.50 and 316,045.50

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Solution

The third proportional to 235,615.50 and 316,045.50 is: 423,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,615.50 : 316,045.50 = 316,045.50 : x
  2. Step 2: Convert to fraction form
    235,615.50/316,045.50 = 316,045.50/x
  3. Step 3: Cross multiply
    235,615.50x = 316,045.50 × 316,045.50
  4. Step 4: Simplify right side
    235,615.50x = 99,884,758,070.25
  5. Step 5: Solve for x
    x = 99,884,758,070.25/235,615.50
  6. Step 6: Final answer
    x = 423,931.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.