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Finding the Third Proportional to 152,681.63 and 224,461.13

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Solution

The third proportional to 152,681.63 and 224,461.13 is: 329,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,681.63 : 224,461.13 = 224,461.13 : x
  2. Step 2: Convert to fraction form
    152,681.63/224,461.13 = 224,461.13/x
  3. Step 3: Cross multiply
    152,681.63x = 224,461.13 × 224,461.13
  4. Step 4: Simplify right side
    152,681.63x = 50,382,796,636.27
  5. Step 5: Solve for x
    x = 50,382,796,636.27/152,681.63
  6. Step 6: Final answer
    x = 329,985.99

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